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## Lin, Shyder

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 Author ID: lin.shyder Published as: Lin, S.; Lin, Shy-Der; Lin, Shy-Der.; Lin, Shyder
 Documents Indexed: 124 Publications since 1969
all top 5

#### Co-Authors

 1 single-authored 57 Srivastava, Hari Mohan 30 Chung, Kunjen 26 Tu, Shih-Tong 17 Wang, Pinyu 14 Nishimoto, Katsuyuki 10 Liao, Juijung 8 Liu, Shuoh-Jung 5 Lu, Han-Chun 5 Ting, Pin-Shou 4 Chuang, Sheng-Tu 4 Chyan, Ding-Kuo 4 Huang, Kuo-Nan 3 Hsieh, Tsai-Ming 2 Chang, Li-Fen 2 Chao, Yi-Shan 2 Huang, Yu-Tan 2 Lu, Chia-Hung 2 Tsai, Yen-Shung 2 Wong, Mu Ming 2 Yen, Ghi-Feng 1 Chao, Yi-Ting 1 Chen, I-Chun 1 Chen, Kungyu 1 Chien, Shun-Ta 1 Jaw, Shing-Jong 1 Lee, Shih-Fang 1 Li, Kun-Hsien 1 Ling, Wei-Chich 1 Miyakoda, Tsuyako 1 Shivastava, H. M. 1 Shyu, Jaw-Shian 1 Srivastas, H. M. 1 Su, Shou-Mei
all top 5

#### Serials

 24 Journal of Fractional Calculus 12 Applied Mathematics and Computation 11 Journal of Information & Optimization Sciences 6 Journal of Statistics & Management Systems 5 Computers & Mathematics with Applications 5 Mathematical Methods in the Applied Sciences 5 Integral Transforms and Special Functions 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Russian Journal of Mathematical Physics 2 Journal of Mathematical Analysis and Applications 2 Applied Mathematics Letters 2 Applied Mathematical Modelling 2 Taiwanese Journal of Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Czechoslovak Mathematical Journal 1 Hiroshima Mathematical Journal 1 Studia Scientiarum Mathematicarum Hungarica 1 Rendiconti del Seminario Matematico 1 Acta Applicandae Mathematicae 1 The Journal of the College of Engineering. Series B 1 Mathematical and Computer Modelling 1 Revista de la Academia Canaria de Ciencias 1 Filomat 1 International Journal of Differential Equations and Applications 1 Advances in Difference Equations 1 Boundary Value Problems 1 International Journal of Operations Research (Taichung)
all top 5

#### Fields

 46 Real functions (26-XX) 38 Special functions (33-XX) 29 Operations research, mathematical programming (90-XX) 25 Ordinary differential equations (34-XX) 10 Partial differential equations (35-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Number theory (11-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 1 Combinatorics (05-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH

81 Publications have been cited 1,113 times in 924 Documents Cited by Year
An effective heuristic algorithm for the traveling salesman problem. Zbl 0256.90038
Lin, S.; Kernighan, B. W.
1973
An efficient heuristic procedure for partitioning graphs. Zbl 0333.05001
Kernighan, B. W.; Lin, S.
1970
Some families of the Hurwitz-Lerch zeta functions and associated fractional derivative and other integral representations. Zbl 1078.11054
Lin, Shy-Der; Srivastava, H. M.
2004
Some expansion formulas for a class of generalized Hurwitz-Lerch zeta functions. Zbl 1172.11026
Lin, Shy-Der; Srivastava, H. M.; Wang, Pin-Yu
2006
Some families of hypergeometric polynomials and associated integral representations. Zbl 1048.33012
Lin, Shy-Der; Chao, Yi-Shan; Srivastava, H. M.
2004
Some fractional-calculus results for the $$\overline H$$-function associated with a class of Feynman integrals. Zbl 1223.33027
Srivastava, H. M.; Lin, Shy-Der; Wang, Pin-Yu
2006
Some families of hypergeometric transformations and generating relations. Zbl 1042.33005
Lin, Shy-Der; Srivastava, H. M.; Wang, Pin-Yu
2002
A common fixed point theorem in abstract spaces. Zbl 0622.47057
Lin, Shy-Der
1987
A simple fractional-calculus approach to the solutions of the Bessel differential equation of general order and some of its applications. Zbl 1088.34004
Lin, Shy-Der; Ling, Wei-Chich; Nishimoto, Katsuyuki; Srivastava, H. M.
2005
The inventory models under conditional trade credit in a supply chain system. Zbl 1427.90009
Chung, Kun-Jen; Lin, Shy-Der; Srivastava, H. M.
2013
Explicit solutions of certain ordinary differential equations by means of fractional calculus. Zbl 1039.34003
Lin, Shy-Der; Tu, Shih-Tong; Srivastava, H. M.
2001
Solutions of a certain class of fractional differintegral equations. Zbl 0979.34002
Tu, Shih-Tong; Lin, Shy-Der; Huang, Yu-Tan; Srivastava, H. M.
2001
Remarks on a simple fractional-calculus approach to the solutions of the Bessel differential equation of general order and some of its applications. Zbl 1105.34002
Wang, Pin-Yu; Lin, Shy-Der; Srivastava, H. M.
2006
Some expansions of the exponential integral in series of the incomplete Gamma function. Zbl 1087.33001
Lin, Shy-Der; Chao, Yi-Shan; Srivastava, H. M.
2005
Solutions of a class of ordinary and partial differential equations via fractional calculus. Zbl 0969.34008
Tu, Shih-Tong; Lin, Shy-Der; Srivastava, H. M.
2000
Isogeometric analysis of multi-phase flows with surface tension and with application to dynamics of rising bubbles. Zbl 1411.76074
Yan, J.; Lin, S.; Bazilevs, Y.; Wagner, G. J.
2019
Laplace transform for solving some families of fractional differential equations and its applications. Zbl 1390.34025
Lin, Shy-Der; Lu, Chia-Hung
2013
Bilateral generating functions for the Erkuş-Srivastava polynomials and the generalized Lauricella functions. Zbl 1241.33015
Liu, Shuoh-Jung; Lin, Shy-Der; Srivastava, H. M.; Wong, Mu-Ming
2012
Some families of linear ordinary and partial differential equations solvable by means of fractional calculus. Zbl 1048.34018
Lin, Shy-Der; Srivastava, H. M.; Tu, Shih-Tong; Wang, Pin-Yu
2002
Certain operators of fractional calculus and their applications to differential equations. Zbl 1045.34002
Lin, Shy-Der; Tu, Shih-Tong; Srivastava, H. M.; Wang, Pin-Yu
2002
Certain classes of ordinary and partial differential equations solvable by means of fractional calculus. Zbl 1033.34008
Lin, Shy-Der; Tu, Shih-Tong; Srivastava, H. M.
2002
Applications of fractional calculus to ordinary and partial differential equations of the second order. Zbl 0797.35026
Tu, Shih-Tong; Nishimoto, Katsuyuki; Jaw, Shing-Jong; Lin, Shy-Der
1993
Integral representations for the generalized Bedient polynomials and the generalized Cesàro polynomials. Zbl 1242.33022
Lin, Shy-Der; Liu, Shuoh-Jung; Lu, Han-Chun; Srivastava, H. M.
2011
Some families of hypergeometric polynomials and associated multiple integral representations. Zbl 1258.33007
Lin, Shy-Der; Liu, Shuoh-Jung; Srivastava, H. M.
2011
Explicit solutions of some general families of ordinary and partial differential equations associated with the Bessel equation by means of fractional calculus. Zbl 1087.34001
Lin, Shy-Der; Shyu, Jaw-Shian; Nishimoto, Katsuyuki; Srivastava, H. M.
2004
A unified presentation of certain families of non-fuchsian differential equations via fractional calculus operators. Zbl 1058.34121
Lin, Shy-Der; Tu, Shih-Tong; Srivastava, H. M.
2003
Explicit solutions of some classes of non-Fuchsian differential equations by means of fractional calculus. Zbl 1007.34004
Lin, Shy-Der; Tu, Shih-Tong; Shivastava, H. M.
2002
Statistical continuum theory for large plastic deformation of polycrystalline materials. Zbl 1031.74016
Garmestani, H.; Lin, S.; Adams, B. L.; Ahzi, S.
2001
Local frictional pressure drop during vaporization of R-12 through capillary tubes. Zbl 1134.76596
Lin, S.; Kwok, C. C. K.; Li, R.-Y.; Chen, Z.-H.; Chen, Z.-Y.
1991
Retailer’s optimal ordering policy in the EOQ model with imperfect-quality items under limited storage capacity and permissible delay. Zbl 1408.90016
Liao, Jui-Jung; Huang, Kuo-Nan; Chung, Kun-Jen; Lin, Shy-Der; Ting, Pin-Shou; Srivastava, H. M.
2018
Some applications of Srivastava’s theorem involving a certain family of generalized and extended hypergeometric polynomials. Zbl 06749148
Lin, Shy-Der; Srivastava, H. M.; Wong, Mu-Ming
2015
Integral representations for the Lagrange polynomials, Shively’s pseudo-Laguerre polynomials, and the generalized Bessel polynomials. Zbl 1259.33013
Srivastava, H. M.; Lin, Shy-Der; Liu, Shuoh-Jung; Lu, Han-Chun
2012
Nodal integration thin plate formulation using linear interpolation and triangular cells. Zbl 1245.74040
Cui, X. Y.; Lin, S.; Li, G. Y.
2011
The inventory model for trade credit in economic ordering policies of deteriorating items in a supply chain system. Zbl 1219.90007
Chung, Kun-Jen; Lin, Shy-Der
2011
A certain class of incomplete elliptic integrals and associated definite integrals. Zbl 1177.33038
Lin, Shy-Der; Chang, Li-Fen; Srivastava, H. M.
2009
Explicit solutions of a certain class of associated Legendre equations by means of fractional calculus. Zbl 1133.34001
Lin, Shy-Der; Tsai, Yen-Shung; Wang, Pin-Yu
2007
New finding of particular solutions for a generalized associated Legendre equation (Illustrative examples). Zbl 0968.34003
Lin, Shy-Der; Nishimoto, Katsuyuki
2000
Statistical continuum theory for inelastic behavior of a two-phase medium. Zbl 0969.74007
Garmestani, H.; Lin, S.; Adams, B. L.
1998
$$N$$-method to a generalized associated Legendre equation. Zbl 0915.34008
Lin, Shy-Der; Nishimoto, K.
1998
A unified presentation of inventory models under quantity discounts, trade credits and cash discounts in the supply chain management. Zbl 1405.90011
Chung, Kun-Jen; Liao, Jui-Jung; Ting, Pin-Shou; Lin, Shy-Der; Srivastava, H. M.
2018
Lot-sizing policies for deterioration items under two-level trade credit with partial trade credit to credit-risk retailer and limited storage capacity. Zbl 1409.90020
Liao, Jui-Jung; Huang, Kuo-Nan; Chung, Kun-Jen; Ting, Pin-Shou; Lin, Shy-Der; Srivastava, H. M.
2017
The complete solution procedures for the mathematical analysis of some families of optimal inventory models with order-size dependent trade credit and deterministic and constant demand. Zbl 1291.90012
Chung, Kun-Jen; Lin, Shy-Der; Srivastava, H. M.
2012
Explicit solutions of a certain class of differential equations by means of fractional calculus. Zbl 1181.34004
Srivastava, H. M.; Lin, Shy-Der; Chao, Yi-Ting; Wang, Pin-Yu
2007
A survey of fractional-calculus approaches to the solutions of the Bessel differential equation of general order. Zbl 1133.34003
Wang, Pin-Yu; Lin, Shy-Der; Tu, Shih-Tong
2007
A note on closed images of locally compact metric spaces. Zbl 1103.54008
Lin, S.
2005
Some mixed multilateral generating relations involving hypergeometric functions. Zbl 1085.33006
Lin, Shy-Der; Srivastava, H. M.; Wang, Pin-Yu
2005
Fractional calculus and its applications involving bilateral expansions and multiple infinite sums. Zbl 1073.26002
Lin, Shy-Der; Srivastas, H. M.
2004
Some generating functions involving the Stirling numbers of the second kind. Zbl 1176.33013
Lin, Shy-Der; Tu, Shih-Tong; Srivastava, H. M.
2001
Some modified mathematical analytic derivations of the annual total relevant cost of the inventory model with two levels of trade credit in the supply chain system. Zbl 1426.91290
Srivastava, Hari M.; Chung, Kun-Jen; Liao, Jui-Jung; Lin, Shy-Der; Chuang, Sheng-Tu
2019
Non-Hermitian heat engine with all-quantum-adiabatic-process cycle. Zbl 1354.81022
Lin, S.; Song, Z.
2016
The algorithm for the optimal cycle time and pricing decisions for an integrated inventory system with order-size dependent trade credit in supply chain management. Zbl 1410.90007
Chung, Kun-Jen; Liao, Jui-Jung; Ting, Pin-Shou; Lin, Shy-Der; Srivastava, H. M.
2015
Some families of series identities and associated fractional differintegral formulas. Zbl 1219.26009
Lin, Shy-Der; Chang, Li-Fen; Srivastava, H. M.
2009
Explicit solutions of Jacobi and Gauss differential equations by means of operators of fractional calculus. Zbl 1151.34003
Wang, Pin-Yu; Lin, Shy-Der; Srivastava, H. M.
2008
Some differintegral formulas for power, composite and rational functions. Zbl 1137.26001
Lin, Shy-Der; Nishimoto, Katsuyuki; Miyakoda, Tsuyako; Srivastava, H. M.
2007
A note on sequence-covering mappings. Zbl 1081.54025
Lin, S.
2005
Some closed-form evaluations of multiple hypergeometric and $$q$$-hypergeometric series. Zbl 1066.33014
Lin, Shy-Der; Srivastava, H. M.
2005
Some relationships between certain families of ordinary and fractional differential equations. Zbl 1054.34008
Hsieh, Tsai-Ming; Lin, Shy-Der; Srivastava, H. M.
2003
Some finite and infinite sums associated with the digamma and related functions. Zbl 1019.33002
Lin, Shy-Der; Tu, Shih-Tong; Hsieh, Tsai-Ming; Srivastava, H. M.
2002
The evolution of probability functions in an inelastically deforming two-phase medium. Zbl 0966.74004
Lin, S.; Garmestani, H.; Adams, B.
2000
Recent findings of Kelvin’s equilibria. Zbl 0825.76244
Vatistas, G. H.; Wang, J.; Lin, S.
1994
Manufacturer’s optimal pricing and lot-sizing policies under trade-credit financing. Zbl 1448.91115
Chung, Kun-Jen; Liao, Jui-Jung; Lin, Shy-Der; Chuang, Sheng-Tu; Srivastava, Hari M.
2020
A fully coupled finite element formulation for liquid-solid-gas thermo-fluid flow with melting and solidification. Zbl 1440.74266
Yan, J.; Yan, W.; Lin, S.; Wagner, G. J.
2018
Determination of the optimal ordering policy for the retailer with limited capitals when a supplier offers 2 levels of trade credit. Zbl 1407.91114
Liao, Jui-Jung; Huang, Kuo-Nan; Chung, Kun-Jen; Lin, Shy-Der; Ting, Pin-Shou; Srivastava, H. M.
2017
Linearization relations for the generalized Bedient polynomials of the first and second kinds via their integral representations. Zbl 1313.33008
Lin, Shy-Der; Liu, Shuoh-Jung; Lu, Han-Chun; Srivastava, Hari Mohan
2013
Homogenization of the elastic properties of pyrolytic carbon based on an image processing technique. Zbl 1321.74008
Böhlke, T.; Langhoff, T.-A.; Lin, S.; Gross, T.
2013
Elastic behavior of an edge dislocation inside the nanoscale coating layer. Zbl 1356.74015
Liu, Y. W.; Zhao, Y. X.; Wen, P. H.; Lin, S.
2012
Some miscellaneous properties and applications of certain operators of fractional calculus. Zbl 1223.26009
Lin, Shy-Der; Srivastava, H. M.
2010
Some comments on retailer’s inventory model under supplier’s partial trade credit policy. Zbl 1173.90306
Chung, Kun-Jen; Lin, Shy-Der
2009
Some families of multiple infinite sums and associated fractional differintegral formulas for power and composite functions. Zbl 1123.26007
Lin, Shy-Der; Tu, Shih-Tong; Srivastava, H. M.
2006
Some multiple infinite sums and combinatorial identities derived by means of fractional calculus. Zbl 1131.26305
Lin, Shy-Der; Srivastava, H. M.; Wang, Pin-Yu
2005
Some families of multiple infinite sums associated with the digamma and related functions. Zbl 1092.33003
Lin, Shy-Der; Hsieh, Tsai-Ming; Srivastava, H. M.
2003
Certain classes of finite-series relationships and generating functions involving the generalized Bessel polynomials. Zbl 1129.33307
Lin, Shy-Der; Chen, I-Chun; Srivastava, H. M.
2003
On some infinite sums derived by N-fractional calculus. Zbl 1004.26004
Nishimoto, Katsuyuki; Chyan, Ding-Kuo; Lin, Shy-Der; Tu, Shih-Tong
2001
Spaces with compact-countable $$k$$-systems. Zbl 0981.54014
Li, Jin Jin; Lin, S.
2001
New generating functions for a class of generalized Hermite polynomials. Zbl 0989.33010
Lin, Shy-Der; Tu, Shih-Tong; Srivastava, H. M.
2001
A note on subparacompact spaces. Zbl 1054.54508
Buhagiar, D.; Lin, S.
2000
A solution of generalized special differential equations by means of fractional calculus. Zbl 0959.34010
Tu, Shih-Tong; Lin, Shy-Der; Chyan, Ding-Kuo; Huang, Yu-Tan
1999
Some generalized ordinary and partial differential equations of Fuchs type via fractional calculus method. Zbl 0807.34005
Tu, Shih-Tong; Lin, Shy-Der; Nishimoto, Katsuyuki
1994
An application of fractional calculus to generalize a second order differential equation of Nishimoto. Zbl 0784.34004
Tu, Shih-Tong; Lin, Shy-Der
1992
A generalization of Legendre’s equation by fractional calculus method. Zbl 0784.34001
Lin, Shy-Der; Tu, Shih-Tong; Nishimoto, K.
1992
Further results on polynomial codes. Zbl 0188.52202
Chen, C. L.; Lin, S.
1969
Manufacturer’s optimal pricing and lot-sizing policies under trade-credit financing. Zbl 1448.91115
Chung, Kun-Jen; Liao, Jui-Jung; Lin, Shy-Der; Chuang, Sheng-Tu; Srivastava, Hari M.
2020
Isogeometric analysis of multi-phase flows with surface tension and with application to dynamics of rising bubbles. Zbl 1411.76074
Yan, J.; Lin, S.; Bazilevs, Y.; Wagner, G. J.
2019
Some modified mathematical analytic derivations of the annual total relevant cost of the inventory model with two levels of trade credit in the supply chain system. Zbl 1426.91290
Srivastava, Hari M.; Chung, Kun-Jen; Liao, Jui-Jung; Lin, Shy-Der; Chuang, Sheng-Tu
2019
Retailer’s optimal ordering policy in the EOQ model with imperfect-quality items under limited storage capacity and permissible delay. Zbl 1408.90016
Liao, Jui-Jung; Huang, Kuo-Nan; Chung, Kun-Jen; Lin, Shy-Der; Ting, Pin-Shou; Srivastava, H. M.
2018
A unified presentation of inventory models under quantity discounts, trade credits and cash discounts in the supply chain management. Zbl 1405.90011
Chung, Kun-Jen; Liao, Jui-Jung; Ting, Pin-Shou; Lin, Shy-Der; Srivastava, H. M.
2018
A fully coupled finite element formulation for liquid-solid-gas thermo-fluid flow with melting and solidification. Zbl 1440.74266
Yan, J.; Yan, W.; Lin, S.; Wagner, G. J.
2018
Lot-sizing policies for deterioration items under two-level trade credit with partial trade credit to credit-risk retailer and limited storage capacity. Zbl 1409.90020
Liao, Jui-Jung; Huang, Kuo-Nan; Chung, Kun-Jen; Ting, Pin-Shou; Lin, Shy-Der; Srivastava, H. M.
2017
Determination of the optimal ordering policy for the retailer with limited capitals when a supplier offers 2 levels of trade credit. Zbl 1407.91114
Liao, Jui-Jung; Huang, Kuo-Nan; Chung, Kun-Jen; Lin, Shy-Der; Ting, Pin-Shou; Srivastava, H. M.
2017
Non-Hermitian heat engine with all-quantum-adiabatic-process cycle. Zbl 1354.81022
Lin, S.; Song, Z.
2016
Some applications of Srivastava’s theorem involving a certain family of generalized and extended hypergeometric polynomials. Zbl 06749148
Lin, Shy-Der; Srivastava, H. M.; Wong, Mu-Ming
2015
The algorithm for the optimal cycle time and pricing decisions for an integrated inventory system with order-size dependent trade credit in supply chain management. Zbl 1410.90007
Chung, Kun-Jen; Liao, Jui-Jung; Ting, Pin-Shou; Lin, Shy-Der; Srivastava, H. M.
2015
The inventory models under conditional trade credit in a supply chain system. Zbl 1427.90009
Chung, Kun-Jen; Lin, Shy-Der; Srivastava, H. M.
2013
Laplace transform for solving some families of fractional differential equations and its applications. Zbl 1390.34025
Lin, Shy-Der; Lu, Chia-Hung
2013
Linearization relations for the generalized Bedient polynomials of the first and second kinds via their integral representations. Zbl 1313.33008
Lin, Shy-Der; Liu, Shuoh-Jung; Lu, Han-Chun; Srivastava, Hari Mohan
2013
Homogenization of the elastic properties of pyrolytic carbon based on an image processing technique. Zbl 1321.74008
Böhlke, T.; Langhoff, T.-A.; Lin, S.; Gross, T.
2013
Bilateral generating functions for the Erkuş-Srivastava polynomials and the generalized Lauricella functions. Zbl 1241.33015
Liu, Shuoh-Jung; Lin, Shy-Der; Srivastava, H. M.; Wong, Mu-Ming
2012
Integral representations for the Lagrange polynomials, Shively’s pseudo-Laguerre polynomials, and the generalized Bessel polynomials. Zbl 1259.33013
Srivastava, H. M.; Lin, Shy-Der; Liu, Shuoh-Jung; Lu, Han-Chun
2012
The complete solution procedures for the mathematical analysis of some families of optimal inventory models with order-size dependent trade credit and deterministic and constant demand. Zbl 1291.90012
Chung, Kun-Jen; Lin, Shy-Der; Srivastava, H. M.
2012
Elastic behavior of an edge dislocation inside the nanoscale coating layer. Zbl 1356.74015
Liu, Y. W.; Zhao, Y. X.; Wen, P. H.; Lin, S.
2012
Integral representations for the generalized Bedient polynomials and the generalized Cesàro polynomials. Zbl 1242.33022
Lin, Shy-Der; Liu, Shuoh-Jung; Lu, Han-Chun; Srivastava, H. M.
2011
Some families of hypergeometric polynomials and associated multiple integral representations. Zbl 1258.33007
Lin, Shy-Der; Liu, Shuoh-Jung; Srivastava, H. M.
2011
Nodal integration thin plate formulation using linear interpolation and triangular cells. Zbl 1245.74040
Cui, X. Y.; Lin, S.; Li, G. Y.
2011
The inventory model for trade credit in economic ordering policies of deteriorating items in a supply chain system. Zbl 1219.90007
Chung, Kun-Jen; Lin, Shy-Der
2011
Some miscellaneous properties and applications of certain operators of fractional calculus. Zbl 1223.26009
Lin, Shy-Der; Srivastava, H. M.
2010
A certain class of incomplete elliptic integrals and associated definite integrals. Zbl 1177.33038
Lin, Shy-Der; Chang, Li-Fen; Srivastava, H. M.
2009
Some families of series identities and associated fractional differintegral formulas. Zbl 1219.26009
Lin, Shy-Der; Chang, Li-Fen; Srivastava, H. M.
2009
Some comments on retailer’s inventory model under supplier’s partial trade credit policy. Zbl 1173.90306
Chung, Kun-Jen; Lin, Shy-Der
2009
Explicit solutions of Jacobi and Gauss differential equations by means of operators of fractional calculus. Zbl 1151.34003
Wang, Pin-Yu; Lin, Shy-Der; Srivastava, H. M.
2008
Explicit solutions of a certain class of associated Legendre equations by means of fractional calculus. Zbl 1133.34001
Lin, Shy-Der; Tsai, Yen-Shung; Wang, Pin-Yu
2007
Explicit solutions of a certain class of differential equations by means of fractional calculus. Zbl 1181.34004
Srivastava, H. M.; Lin, Shy-Der; Chao, Yi-Ting; Wang, Pin-Yu
2007
A survey of fractional-calculus approaches to the solutions of the Bessel differential equation of general order. Zbl 1133.34003
Wang, Pin-Yu; Lin, Shy-Der; Tu, Shih-Tong
2007
Some differintegral formulas for power, composite and rational functions. Zbl 1137.26001
Lin, Shy-Der; Nishimoto, Katsuyuki; Miyakoda, Tsuyako; Srivastava, H. M.
2007
Some expansion formulas for a class of generalized Hurwitz-Lerch zeta functions. Zbl 1172.11026
Lin, Shy-Der; Srivastava, H. M.; Wang, Pin-Yu
2006
Some fractional-calculus results for the $$\overline H$$-function associated with a class of Feynman integrals. Zbl 1223.33027
Srivastava, H. M.; Lin, Shy-Der; Wang, Pin-Yu
2006
Remarks on a simple fractional-calculus approach to the solutions of the Bessel differential equation of general order and some of its applications. Zbl 1105.34002
Wang, Pin-Yu; Lin, Shy-Der; Srivastava, H. M.
2006
Some families of multiple infinite sums and associated fractional differintegral formulas for power and composite functions. Zbl 1123.26007
Lin, Shy-Der; Tu, Shih-Tong; Srivastava, H. M.
2006
A simple fractional-calculus approach to the solutions of the Bessel differential equation of general order and some of its applications. Zbl 1088.34004
Lin, Shy-Der; Ling, Wei-Chich; Nishimoto, Katsuyuki; Srivastava, H. M.
2005
Some expansions of the exponential integral in series of the incomplete Gamma function. Zbl 1087.33001
Lin, Shy-Der; Chao, Yi-Shan; Srivastava, H. M.
2005
A note on closed images of locally compact metric spaces. Zbl 1103.54008
Lin, S.
2005
Some mixed multilateral generating relations involving hypergeometric functions. Zbl 1085.33006
Lin, Shy-Der; Srivastava, H. M.; Wang, Pin-Yu
2005
A note on sequence-covering mappings. Zbl 1081.54025
Lin, S.
2005
Some closed-form evaluations of multiple hypergeometric and $$q$$-hypergeometric series. Zbl 1066.33014
Lin, Shy-Der; Srivastava, H. M.
2005
Some multiple infinite sums and combinatorial identities derived by means of fractional calculus. Zbl 1131.26305
Lin, Shy-Der; Srivastava, H. M.; Wang, Pin-Yu
2005
Some families of the Hurwitz-Lerch zeta functions and associated fractional derivative and other integral representations. Zbl 1078.11054
Lin, Shy-Der; Srivastava, H. M.
2004
Some families of hypergeometric polynomials and associated integral representations. Zbl 1048.33012
Lin, Shy-Der; Chao, Yi-Shan; Srivastava, H. M.
2004
Explicit solutions of some general families of ordinary and partial differential equations associated with the Bessel equation by means of fractional calculus. Zbl 1087.34001
Lin, Shy-Der; Shyu, Jaw-Shian; Nishimoto, Katsuyuki; Srivastava, H. M.
2004
Fractional calculus and its applications involving bilateral expansions and multiple infinite sums. Zbl 1073.26002
Lin, Shy-Der; Srivastas, H. M.
2004
A unified presentation of certain families of non-fuchsian differential equations via fractional calculus operators. Zbl 1058.34121
Lin, Shy-Der; Tu, Shih-Tong; Srivastava, H. M.
2003
Some relationships between certain families of ordinary and fractional differential equations. Zbl 1054.34008
Hsieh, Tsai-Ming; Lin, Shy-Der; Srivastava, H. M.
2003
Some families of multiple infinite sums associated with the digamma and related functions. Zbl 1092.33003
Lin, Shy-Der; Hsieh, Tsai-Ming; Srivastava, H. M.
2003
Certain classes of finite-series relationships and generating functions involving the generalized Bessel polynomials. Zbl 1129.33307
Lin, Shy-Der; Chen, I-Chun; Srivastava, H. M.
2003
Some families of hypergeometric transformations and generating relations. Zbl 1042.33005
Lin, Shy-Der; Srivastava, H. M.; Wang, Pin-Yu
2002
Some families of linear ordinary and partial differential equations solvable by means of fractional calculus. Zbl 1048.34018
Lin, Shy-Der; Srivastava, H. M.; Tu, Shih-Tong; Wang, Pin-Yu
2002
Certain operators of fractional calculus and their applications to differential equations. Zbl 1045.34002
Lin, Shy-Der; Tu, Shih-Tong; Srivastava, H. M.; Wang, Pin-Yu
2002
Certain classes of ordinary and partial differential equations solvable by means of fractional calculus. Zbl 1033.34008
Lin, Shy-Der; Tu, Shih-Tong; Srivastava, H. M.
2002
Explicit solutions of some classes of non-Fuchsian differential equations by means of fractional calculus. Zbl 1007.34004
Lin, Shy-Der; Tu, Shih-Tong; Shivastava, H. M.
2002
Some finite and infinite sums associated with the digamma and related functions. Zbl 1019.33002
Lin, Shy-Der; Tu, Shih-Tong; Hsieh, Tsai-Ming; Srivastava, H. M.
2002
Explicit solutions of certain ordinary differential equations by means of fractional calculus. Zbl 1039.34003
Lin, Shy-Der; Tu, Shih-Tong; Srivastava, H. M.
2001
Solutions of a certain class of fractional differintegral equations. Zbl 0979.34002
Tu, Shih-Tong; Lin, Shy-Der; Huang, Yu-Tan; Srivastava, H. M.
2001
Statistical continuum theory for large plastic deformation of polycrystalline materials. Zbl 1031.74016
Garmestani, H.; Lin, S.; Adams, B. L.; Ahzi, S.
2001
Some generating functions involving the Stirling numbers of the second kind. Zbl 1176.33013
Lin, Shy-Der; Tu, Shih-Tong; Srivastava, H. M.
2001
On some infinite sums derived by N-fractional calculus. Zbl 1004.26004
Nishimoto, Katsuyuki; Chyan, Ding-Kuo; Lin, Shy-Der; Tu, Shih-Tong
2001
Spaces with compact-countable $$k$$-systems. Zbl 0981.54014
Li, Jin Jin; Lin, S.
2001
New generating functions for a class of generalized Hermite polynomials. Zbl 0989.33010
Lin, Shy-Der; Tu, Shih-Tong; Srivastava, H. M.
2001
Solutions of a class of ordinary and partial differential equations via fractional calculus. Zbl 0969.34008
Tu, Shih-Tong; Lin, Shy-Der; Srivastava, H. M.
2000
New finding of particular solutions for a generalized associated Legendre equation (Illustrative examples). Zbl 0968.34003
Lin, Shy-Der; Nishimoto, Katsuyuki
2000
The evolution of probability functions in an inelastically deforming two-phase medium. Zbl 0966.74004
Lin, S.; Garmestani, H.; Adams, B.
2000
A note on subparacompact spaces. Zbl 1054.54508
Buhagiar, D.; Lin, S.
2000
A solution of generalized special differential equations by means of fractional calculus. Zbl 0959.34010
Tu, Shih-Tong; Lin, Shy-Der; Chyan, Ding-Kuo; Huang, Yu-Tan
1999
Statistical continuum theory for inelastic behavior of a two-phase medium. Zbl 0969.74007
Garmestani, H.; Lin, S.; Adams, B. L.
1998
$$N$$-method to a generalized associated Legendre equation. Zbl 0915.34008
Lin, Shy-Der; Nishimoto, K.
1998
Recent findings of Kelvin’s equilibria. Zbl 0825.76244
Vatistas, G. H.; Wang, J.; Lin, S.
1994
Some generalized ordinary and partial differential equations of Fuchs type via fractional calculus method. Zbl 0807.34005
Tu, Shih-Tong; Lin, Shy-Der; Nishimoto, Katsuyuki
1994
Applications of fractional calculus to ordinary and partial differential equations of the second order. Zbl 0797.35026
Tu, Shih-Tong; Nishimoto, Katsuyuki; Jaw, Shing-Jong; Lin, Shy-Der
1993
An application of fractional calculus to generalize a second order differential equation of Nishimoto. Zbl 0784.34004
Tu, Shih-Tong; Lin, Shy-Der
1992
A generalization of Legendre’s equation by fractional calculus method. Zbl 0784.34001
Lin, Shy-Der; Tu, Shih-Tong; Nishimoto, K.
1992
Local frictional pressure drop during vaporization of R-12 through capillary tubes. Zbl 1134.76596
Lin, S.; Kwok, C. C. K.; Li, R.-Y.; Chen, Z.-H.; Chen, Z.-Y.
1991
A common fixed point theorem in abstract spaces. Zbl 0622.47057
Lin, Shy-Der
1987
An effective heuristic algorithm for the traveling salesman problem. Zbl 0256.90038
Lin, S.; Kernighan, B. W.
1973
An efficient heuristic procedure for partitioning graphs. Zbl 0333.05001
Kernighan, B. W.; Lin, S.
1970
Further results on polynomial codes. Zbl 0188.52202
Chen, C. L.; Lin, S.
1969
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#### Cited by 1,753 Authors

 69 Srivastava, Hari Mohan 28 Lin, Shyder 11 Glover, Fred W. 10 Ozarslan, Mehmet Ali 10 Rego, César 9 Archetti, Claudia 9 Sörensen, Kenneth 8 Choi, Junesang 8 Simsek, Yilmaz 7 Chung, Kunjen 7 Hao, Jin-Kao 7 Jacobson, Sheldon H. 7 Liao, Juijung 7 Toth, Paolo 7 Wang, Pinyu 6 Gaboury, Sébastien 6 Pardalos, Panos M. 6 Punnen, Abraham P. 5 Aarts, Emile Hubertus Leonardus 5 Evans, James R. 5 Golden, Bruce L. 5 Irnich, Stefan 5 Liu, Shuoh-Jung 5 Naji Azimi, Zahra 5 Parmar, Rakesh Kumar 5 Salari, Majid 5 Saxena, Ram Kishore 5 Speranza, Maria Grazia 5 Tu, Shih-Tong 4 Ahzi, Saïd 4 Feillet, Dominique 4 Garmestani, Hamid 4 Helsgaun, Keld 4 Karapınar, Erdal 4 Lu, Han-Chun 4 Lust, Thibaut 4 Papadimitriou, Christos Harilaos 4 Pogány, Tibor K. 4 Reinelt, Gerhard 4 Ting, Pin-Shou 4 Vigo, Daniele 4 Yan, Jinhui 3 Arnold, Florian 3 Beasley, John E. 3 Brusco, Michael J. 3 Chand, Mehar 3 Chen, Haoxun 3 Chu, Feng 3 Cui, Yaozu 3 de Souza, Cid Carvalho 3 Funke, Birger 3 Gamboa, Dorabela 3 Grötschel, Martin 3 Grünert, Tore 3 Hall, Shane N. 3 Hsu, Ming-Chen 3 Huang, Kuo-Nan 3 Jaszkiewicz, Andrzej 3 Kaanoğlu, Cem 3 Knippel, Arnaud 3 Korst, Jan H. M. 3 Laporte, Gilbert 3 Larusic, John 3 Lin, Shou 3 Lu, Daqian 3 Luo, Qiuming 3 Marinakis, Yannis 3 Martin, Olivier C. 3 Migdalas, Athanasios 3 Milano, Michela 3 Narihisa, Hiroyuki 3 Nikolaev, Alexander G. 3 Ong, Hoon Liong 3 Özmen, Nejla 3 Ozturk, Okkes 3 Padberg, Manfred W. 3 Pesch, Erwin 3 Pitsoulis, Leonidas S. 3 Plastino, Alexandre 3 Prins, Christian 3 Prodhon, Caroline 3 Rémond, Yves 3 Rendl, Franz 3 Salazar-González, Juan-José 3 Smith-Miles, Kate A. 3 Talarico, Luca 3 Tsubakitani, Shigeru 3 Uçar, Bora 3 Valle, Cristiano Arbex 3 Wang, Xingyuan 2 Acikgoz, Mehmet 2 Agarwal, Anurag 2 Agarwal, Praveen 2 Altin, Abdullah 2 Aouf, Mohamed Kamal 2 Araci, Serkan 2 Arenas, Alex 2 Arunkumar, S. 2 Askin, Ronald G. 2 Attiya, Adel A. ...and 1,653 more Authors
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#### Cited in 239 Serials

 113 European Journal of Operational Research 77 Computers & Operations Research 34 Applied Mathematics and Computation 31 Annals of Operations Research 26 Discrete Applied Mathematics 19 Integral Transforms and Special Functions 18 Computers & Mathematics with Applications 16 Operations Research Letters 16 Journal of Heuristics 14 Mathematical Programming. Series A. Series B 11 Mathematical and Computer Modelling 11 Mathematical Problems in Engineering 10 Applied Mathematics Letters 8 Networks 8 Theoretical Computer Science 8 Russian Journal of Mathematical Physics 8 Abstract and Applied Analysis 8 Advances in Difference Equations 8 Mathematical Programming Computation 7 Information Processing Letters 7 Information Sciences 7 Journal of Computational and Applied Mathematics 7 Computational Optimization and Applications 7 INFORMS Journal on Computing 6 Artificial Intelligence 6 Biological Cybernetics 6 Computer Methods in Applied Mechanics and Engineering 6 Journal of Mathematical Analysis and Applications 6 Algorithmica 6 Journal of Global Optimization 6 International Transactions in Operational Research 6 Journal of Combinatorial Optimization 6 OR Spectrum 6 4OR 6 Fixed Point Theory and Applications 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Journal of Computational Physics 5 Physica A 5 International Journal for Numerical Methods in Engineering 5 Mathematical Programming 5 OR Spektrum 5 International Journal of Production Research 5 Applied Mathematical Modelling 5 International Journal of Computer Mathematics 5 RAIRO. Operations Research 4 International Journal of Heat and Mass Transfer 4 Journal of the Franklin Institute 4 Journal of Computer and System Sciences 4 International Journal of Approximate Reasoning 4 Automation and Remote Control 4 Parallel Algorithms and Applications 4 Journal of Inequalities and Applications 4 Statistical Analysis and Data Mining 4 International Journal of Applied and Computational Mathematics 3 International Journal of Theoretical Physics 3 Journal of the Mechanics and Physics of Solids 3 Journal of Statistical Physics 3 Psychometrika 3 Czechoslovak Mathematical Journal 3 Journal of Optimization Theory and Applications 3 Topology and its Applications 3 American Journal of Mathematical and Management Sciences 3 Computational Mechanics 3 Neural Networks 3 Pattern Recognition 3 ZOR. Zeitschrift für Operations Research 3 SIAM Journal on Scientific Computing 3 Top 3 Annals of Mathematics and Artificial Intelligence 3 Complexity 3 Optimization Methods & Software 3 Discrete Dynamics in Nature and Society 3 Journal of Statistical Mechanics: Theory and Experiment 3 Journal of Industrial and Management Optimization 3 Optimization Letters 3 Symmetry 3 Afrika Matematika 3 EURO Journal on Computational Optimization 2 Modern Physics Letters B 2 Computer Physics Communications 2 International Journal of Plasticity 2 Journal of Fluid Mechanics 2 Mathematical Methods in the Applied Sciences 2 Automatica 2 Kyungpook Mathematical Journal 2 Opsearch 2 Cybernetics and Systems 2 Journal of Information & Optimization Sciences 2 Insurance Mathematics & Economics 2 Journal of Classification 2 Acta Mathematicae Applicatae Sinica. English Series 2 Optimization 2 Journal of Computer Science and Technology 2 International Journal of Parallel Programming 2 Asia-Pacific Journal of Operational Research 2 Journal of Parallel and Distributed Computing 2 Applied Intelligence 2 Numerical Algorithms 2 SIAM Journal on Applied Mathematics 2 Computational Statistics and Data Analysis ...and 139 more Serials
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#### Cited in 42 Fields

 531 Operations research, mathematical programming (90-XX) 180 Computer science (68-XX) 101 Combinatorics (05-XX) 99 Numerical analysis (65-XX) 87 Special functions (33-XX) 51 Number theory (11-XX) 44 Real functions (26-XX) 40 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 36 Statistics (62-XX) 35 Ordinary differential equations (34-XX) 25 Biology and other natural sciences (92-XX) 24 Mechanics of deformable solids (74-XX) 21 Functions of a complex variable (30-XX) 21 Information and communication theory, circuits (94-XX) 19 Fluid mechanics (76-XX) 17 General topology (54-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Operator theory (47-XX) 11 Partial differential equations (35-XX) 9 Probability theory and stochastic processes (60-XX) 7 Approximations and expansions (41-XX) 7 Integral transforms, operational calculus (44-XX) 7 Convex and discrete geometry (52-XX) 7 Systems theory; control (93-XX) 6 Quantum theory (81-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Functional analysis (46-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Sequences, series, summability (40-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Integral equations (45-XX) 2 General and overarching topics; collections (00-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of particles and systems (70-XX)