Khan, Nabiullah; Husain, Saddam A family of Apostol-Euler polynomials associated with Bell polynomials. (English) Zbl 07802624 Analysis, München 44, No. 1, 1-16 (2024). MSC: 11B68 33B15 33C05 33C10 33C15 33C45 33E20 PDFBibTeX XMLCite \textit{N. Khan} and \textit{S. Husain}, Analysis, München 44, No. 1, 1--16 (2024; Zbl 07802624) Full Text: DOI
Kilar, Neslihan A new class of generalized Fubini polynomials and their computational algorithms. (English) Zbl 07817610 Appl. Anal. Discrete Math. 17, No. 2, 496-524 (2023). MSC: 05A15 11B68 11B73 PDFBibTeX XMLCite \textit{N. Kilar}, Appl. Anal. Discrete Math. 17, No. 2, 496--524 (2023; Zbl 07817610) Full Text: DOI
Gun, Damla; Simsek, Yilmaz Modification exponential Euler type splines derived from Apostol-Euler numbers and polynomials of complex order. (English) Zbl 07710598 Appl. Anal. Discrete Math. 17, No. 1, 197-215 (2023). MSC: 11B68 41A15 05A15 PDFBibTeX XMLCite \textit{D. Gun} and \textit{Y. Simsek}, Appl. Anal. Discrete Math. 17, No. 1, 197--215 (2023; Zbl 07710598) Full Text: DOI
Witte, N. S.; Greenwood, P. E. On the density arising from the domain of attraction of an operator interpolating between sum and supremum: the \(\alpha\)-sun operator. (English) Zbl 1517.60026 J. Math. Anal. Appl. 527, No. 1, Part 2, Article ID 127371, 31 p. (2023). MSC: 60E07 33C20 60G70 PDFBibTeX XMLCite \textit{N. S. Witte} and \textit{P. E. Greenwood}, J. Math. Anal. Appl. 527, No. 1, Part 2, Article ID 127371, 31 p. (2023; Zbl 1517.60026) Full Text: DOI
Zhu, Jun-Ming; Luo, Qiu-Ming Partial-fraction decomposition of a rational function and its application. (English) Zbl 07640584 Adv. Contin. Discrete Models 2023, Paper No. 1, 22 p. (2023). MSC: 30E20 30C15 26C15 11B83 11B68 11B73 33C05 PDFBibTeX XMLCite \textit{J.-M. Zhu} and \textit{Q.-M. Luo}, Adv. Contin. Discrete Models 2023, Paper No. 1, 22 p. (2023; Zbl 07640584) Full Text: DOI
Simsek, Yilmaz Applications of Apostol-type numbers and polynomials: approach to techniques of computation algorithms in approximation and interpolation functions. (English) Zbl 1496.11036 Daras, Nicholas J. (ed.) et al., Approximation and computation in science and engineering. Cham: Springer. Springer Optim. Appl. 180, 783-860 (2022). MSC: 11B68 PDFBibTeX XMLCite \textit{Y. Simsek}, Springer Optim. Appl. 180, 783--860 (2022; Zbl 1496.11036) Full Text: DOI
Choi, Junesang; Khan, Nabiullah; Usman, Talha Certain Laguerre-based generalized Apostol type polynomials. (English) Zbl 1479.33005 Tamkang J. Math. 53, No. 1, 59-74 (2022). MSC: 33C45 05A15 11B68 PDFBibTeX XMLCite \textit{J. Choi} et al., Tamkang J. Math. 53, No. 1, 59--74 (2022; Zbl 1479.33005) Full Text: DOI
Simsek, Yilmaz; Kucukoglu, Irem Some certain classes of combinatorial numbers and polynomials attached to Dirichlet characters: their construction by \(p\)-adic integration and applications to probability distribution functions. (English) Zbl 1508.11037 Parasidis, Ioannis. N. (ed.) et al., Mathematical analysis in interdisciplinary research. Cham: Springer. Springer Optim. Appl. 179, 795-857 (2021). MSC: 11B83 11S80 60C05 PDFBibTeX XMLCite \textit{Y. Simsek} and \textit{I. Kucukoglu}, Springer Optim. Appl. 179, 795--857 (2021; Zbl 1508.11037) Full Text: DOI
Srivastava, H. M.; Srivastava, Rekha; Muhyi, Abdulghani; Yasmin, Ghazala; Islahi, Hibah; Araci, Serkan Construction of a new family of Fubini-type polynomials and its applications. (English) Zbl 1485.11050 Adv. Difference Equ. 2021, Paper No. 36, 25 p. (2021). MSC: 11B68 33C45 11B73 05A19 11B83 PDFBibTeX XMLCite \textit{H. M. Srivastava} et al., Adv. Difference Equ. 2021, Paper No. 36, 25 p. (2021; Zbl 1485.11050) Full Text: DOI
Adell, José A.; Lekuona, Alberto Explicit expressions for a certain subset of Appell polynomials: a probabilistic perspective. (English) Zbl 1476.11036 Integers 21, Paper A60, 10 p. (2021). MSC: 11B68 11B73 60E05 60E10 PDFBibTeX XMLCite \textit{J. A. Adell} and \textit{A. Lekuona}, Integers 21, Paper A60, 10 p. (2021; Zbl 1476.11036) Full Text: Link
Corcino, Cristina B.; Corcino, Roberto B. Approximations of Genocchi polynomials of complex order. (English) Zbl 1471.11096 Asian-Eur. J. Math. 14, No. 5, Article ID 2150083, 14 p. (2021). MSC: 11B68 41A60 PDFBibTeX XMLCite \textit{C. B. Corcino} and \textit{R. B. Corcino}, Asian-Eur. J. Math. 14, No. 5, Article ID 2150083, 14 p. (2021; Zbl 1471.11096) Full Text: DOI
Ghayasuddin, Mohd; Khan, Nabiullah Certain new presentation of the generalized polynomials and numbers. (English) Zbl 1478.33004 Rend. Circ. Mat. Palermo (2) 70, No. 1, 327-339 (2021). MSC: 33C45 11B68 33E12 PDFBibTeX XMLCite \textit{M. Ghayasuddin} and \textit{N. Khan}, Rend. Circ. Mat. Palermo (2) 70, No. 1, 327--339 (2021; Zbl 1478.33004) Full Text: DOI
El-Desouky, Beih; Gomaa, Rabab; Mager, Alia The multi-variable unified family of generalized Apostol-type polynomials. (English) Zbl 1499.33037 Appl. Anal. Discrete Math. 14, No. 2, 317-334 (2020). MSC: 33C45 33E20 PDFBibTeX XMLCite \textit{B. El-Desouky} et al., Appl. Anal. Discrete Math. 14, No. 2, 317--334 (2020; Zbl 1499.33037) Full Text: DOI
Saif, Mohd.; Nadeem, Raghib Evaluation of Apostol-Euler based poly Daehee polynomials. (English) Zbl 1459.33012 Int. J. Appl. Comput. Math. 6, No. 1, Paper No. 1, 11 p. (2020). MSC: 33D05 33E12 PDFBibTeX XMLCite \textit{Mohd. Saif} and \textit{R. Nadeem}, Int. J. Appl. Comput. Math. 6, No. 1, Paper No. 1, 11 p. (2020; Zbl 1459.33012) Full Text: DOI
Agoh, Takashi On generalized Euler numbers and polynomials related to values of the Lerch zeta function. (English) Zbl 1461.11040 Integers 20, Paper A5, 18 p. (2020). Reviewer: Mohammad K. Azarian (Evansville) MSC: 11B68 11M35 PDFBibTeX XMLCite \textit{T. Agoh}, Integers 20, Paper A5, 18 p. (2020; Zbl 1461.11040) Full Text: Link
Kucukoglu, Irem; Simsek, Yilmaz On a family of special numbers and polynomials associated with Apostol-type numbers and polynomials and combinatorial numbers. (English) Zbl 1513.05023 Appl. Anal. Discrete Math. 13, No. 2, 478-494 (2019). MSC: 05A15 11B83 11B68 PDFBibTeX XMLCite \textit{I. Kucukoglu} and \textit{Y. Simsek}, Appl. Anal. Discrete Math. 13, No. 2, 478--494 (2019; Zbl 1513.05023) Full Text: DOI
Riyasat, Mumtaz A Riordan array approach to Apostol type-Sheffer sequences. (English) Zbl 1499.11153 Filomat 33, No. 18, 6025-6038 (2019). MSC: 11B83 12E10 11C20 PDFBibTeX XMLCite \textit{M. Riyasat}, Filomat 33, No. 18, 6025--6038 (2019; Zbl 1499.11153) Full Text: DOI
Kumam, Wiyada; Srivastava, Hari Mohan; Wani, Shahid Ahmad; Araci, Serkan; Kumam, Poom Truncated-exponential-based Frobenius-Euler polynomials. (English) Zbl 1487.11022 Adv. Difference Equ. 2019, Paper No. 530, 12 p. (2019). MSC: 11B68 33C45 11B73 05A19 PDFBibTeX XMLCite \textit{W. Kumam} et al., Adv. Difference Equ. 2019, Paper No. 530, 12 p. (2019; Zbl 1487.11022) Full Text: DOI
Küçükoğlu, İrem; Şimşek, Burçin; Şimşek, Yılmaz An approach to negative hypergeometric distribution by generating function for special numbers and polynomials. (English) Zbl 1439.05011 Turk. J. Math. 43, No. 5, 2337-2353 (2019). Reviewer: Mircea Merca (Cornu) MSC: 05A10 05A15 11B37 11B65 11B68 11B83 26C05 60C05 PDFBibTeX XMLCite \textit{İ. Küçükoğlu} et al., Turk. J. Math. 43, No. 5, 2337--2353 (2019; Zbl 1439.05011) Full Text: Link
Srivastava, H. M.; Kızılateş, Can A parametric kind of the Fubini-type polynomials. (English) Zbl 1439.11068 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 3253-3267 (2019). MSC: 11B68 11B83 11B73 05A15 05A19 26C05 30C15 PDFBibTeX XMLCite \textit{H. M. Srivastava} and \textit{C. Kızılateş}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 3253--3267 (2019; Zbl 1439.11068) Full Text: DOI
Marcellán, Francisco; Shadab, Mohd; Jabee, Saima Some new identities involving Sheffer-Appell polynomial sequences via matrix approach. (English) Zbl 1439.11086 Mediterr. J. Math. 16, No. 5, Paper No. 116, 20 p. (2019). MSC: 11B83 33C45 PDFBibTeX XMLCite \textit{F. Marcellán} et al., Mediterr. J. Math. 16, No. 5, Paper No. 116, 20 p. (2019; Zbl 1439.11086) Full Text: DOI
Genčev, Marian On some weighted sum formulas involving general multiple zeta-type series. (English) Zbl 1454.11163 J. Number Theory 205, 124-147 (2019). Reviewer: Ismail Naci Cangül (Bursa) MSC: 11M32 11M35 11B68 PDFBibTeX XMLCite \textit{M. Genčev}, J. Number Theory 205, 124--147 (2019; Zbl 1454.11163) Full Text: DOI
Adell, José A.; Lekuona, Alberto Closed form expressions for Appell polynomials. (English) Zbl 1459.11055 Ramanujan J. 49, No. 3, 567-583 (2019). MSC: 11B68 33C45 60E05 PDFBibTeX XMLCite \textit{J. A. Adell} and \textit{A. Lekuona}, Ramanujan J. 49, No. 3, 567--583 (2019; Zbl 1459.11055) Full Text: DOI arXiv
Srivastava, H. M.; Masjed-Jamei, M.; Beyki, M. R. Some new generalizations and applications of the Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials. (English) Zbl 1418.11038 Rocky Mt. J. Math. 49, No. 2, 681-697 (2019). MSC: 11B68 11B73 11B83 26C05 PDFBibTeX XMLCite \textit{H. M. Srivastava} et al., Rocky Mt. J. Math. 49, No. 2, 681--697 (2019; Zbl 1418.11038) Full Text: DOI Euclid
Kucukoglu, Irem; Simsek, Yilmaz On interpolation functions for the number of \(k\)-ary Lyndon words associated with the Apostol-Euler numbers and their applications. (English) Zbl 1419.05019 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 1, 281-297 (2019). MSC: 05A15 05A05 11B68 11B83 11M35 11A25 68R15 PDFBibTeX XMLCite \textit{I. Kucukoglu} and \textit{Y. Simsek}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 1, 281--297 (2019; Zbl 1419.05019) Full Text: DOI
Bin-Saad, Maged G.; Bin-Alhag, Ali Z. Modified Apostol-Euler numbers and polynomials of higher order. (English) Zbl 1431.11033 Tbil. Math. J. 11, No. 4, 53-66 (2018). MSC: 11B68 33C05 11B73 PDFBibTeX XMLCite \textit{M. G. Bin-Saad} and \textit{A. Z. Bin-Alhag}, Tbil. Math. J. 11, No. 4, 53--66 (2018; Zbl 1431.11033) Full Text: DOI Euclid
Araci, Serkan; Riyasat, Mumtaz; Wani, Shahid Ahmad; Khan, Subuhi A new class of Hermite-Apostol type Frobenius-Euler polynomials and its applications. (English) Zbl 1423.11045 Symmetry 10, No. 11, Paper No. 652, 16 p. (2018). MSC: 11B68 05A10 11B65 PDFBibTeX XMLCite \textit{S. Araci} et al., Symmetry 10, No. 11, Paper No. 652, 16 p. (2018; Zbl 1423.11045) Full Text: DOI
Kucukoglu, Irem; Simsek, Yilmaz Numerical evaluation of special power series including the numbers of Lyndon words: an approach to interpolation functions for Apostol-type numbers and polynomials. (English) Zbl 1477.68253 ETNA, Electron. Trans. Numer. Anal. 50, 98-108 (2018). MSC: 68R15 05A15 11A25 11B68 11B83 11S40 11Y16 65Q30 PDFBibTeX XMLCite \textit{I. Kucukoglu} and \textit{Y. Simsek}, ETNA, Electron. Trans. Numer. Anal. 50, 98--108 (2018; Zbl 1477.68253) Full Text: DOI Link
Hu, Su; Kim, Min-Soo Two closed forms for the Apostol-Bernoulli polynomials. (English) Zbl 1441.11035 Ramanujan J. 46, No. 1, 103-117 (2018). Reviewer: Matthew C. Lettington (Cardiff) MSC: 11B68 05A19 11B73 PDFBibTeX XMLCite \textit{S. Hu} and \textit{M.-S. Kim}, Ramanujan J. 46, No. 1, 103--117 (2018; Zbl 1441.11035) Full Text: DOI arXiv
Khan, N. U.; Usman, T.; Aman, M. Certain generating function of generalized Apostol type Legendre-based polynomials. (Certain generating funtion of generalized Apostol type Legendre-based polynomials.) (English) Zbl 1385.05010 Note Mat. 37, No. 2, 21-44 (2017). MSC: 05A10 11B68 33C45 33C99 PDFBibTeX XMLCite \textit{N. U. Khan} et al., Note Mat. 37, No. 2, 21--44 (2017; Zbl 1385.05010) Full Text: DOI
He, Yuan Summation formulae of products of the Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1373.11019 Ramanujan J. 43, No. 2, 447-464 (2017). MSC: 11B68 05A19 PDFBibTeX XMLCite \textit{Y. He}, Ramanujan J. 43, No. 2, 447--464 (2017; Zbl 1373.11019) Full Text: DOI
Srivastava, H. M.; Kucukoğlu, Irem; Simsek, Yilmaz Partial differential equations for a new family of numbers and polynomials unifying the Apostol-type numbers and the Apostol-type polynomials. (English) Zbl 1369.05009 J. Number Theory 181, 117-146 (2017). MSC: 05A10 05A15 11B37 11B39 11B68 11B83 11M35 26C05 26C10 33C05 34A99 35A99 PDFBibTeX XMLCite \textit{H. M. Srivastava} et al., J. Number Theory 181, 117--146 (2017; Zbl 1369.05009) Full Text: DOI
Khan, Subuhi; Riyasat, Mumtaz; Yasmin, Ghazala Finding symmetry identities for the 2-variable Apostol type polynomials. (English) Zbl 1362.33013 Tbil. Math. J. 10, No. 2, 65-81 (2017). MSC: 33C45 11B68 PDFBibTeX XMLCite \textit{S. Khan} et al., Tbil. Math. J. 10, No. 2, 65--81 (2017; Zbl 1362.33013) Full Text: DOI
Khan, Subuhi; Raza, Nusrat; Ali, Mahvish Finding mixed families of special polynomials associated with Appell sequences. (English) Zbl 1355.33016 J. Math. Anal. Appl. 447, No. 1, 398-418 (2017). Reviewer: Peter Massopust (München) MSC: 33C65 33C45 PDFBibTeX XMLCite \textit{S. Khan} et al., J. Math. Anal. Appl. 447, No. 1, 398--418 (2017; Zbl 1355.33016) Full Text: DOI arXiv
Khan, Waseem A.; Araci, Serkan; Acikgoz, Mehmet A new class of Laguerre-based Apostol type polynomials. (English) Zbl 1438.11049 Cogent Math. 3, Article ID 1243839, 17 p. (2016). MSC: 11B68 33E20 33C05 PDFBibTeX XMLCite \textit{W. A. Khan} et al., Cogent Math. 3, Article ID 1243839, 17 p. (2016; Zbl 1438.11049) Full Text: DOI
He, Yuan A new formula of products of the Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1371.11046 Bull. Malays. Math. Sci. Soc. (2) 39, No. 4, 1307-1318 (2016). MSC: 11B68 05A19 PDFBibTeX XMLCite \textit{Y. He}, Bull. Malays. Math. Sci. Soc. (2) 39, No. 4, 1307--1318 (2016; Zbl 1371.11046) Full Text: DOI
Khan, N. U.; Usman, T. A new class of Laguerre-based generalized Apostol polynomials. (English) Zbl 1403.11012 Fasc. Math. 57, 67-89 (2016). MSC: 11B68 33C45 33E20 PDFBibTeX XMLCite \textit{N. U. Khan} and \textit{T. Usman}, Fasc. Math. 57, 67--89 (2016; Zbl 1403.11012) Full Text: DOI
Khan, Subuhi; Yasmin, Ghazala; Riyasat, Mumtaz Certain results for the 2-variable Apostol type and related polynomials. (English) Zbl 1443.11026 Comput. Math. Appl. 69, No. 11, 1367-1382 (2015). MSC: 11B68 PDFBibTeX XMLCite \textit{S. Khan} et al., Comput. Math. Appl. 69, No. 11, 1367--1382 (2015; Zbl 1443.11026) Full Text: DOI
Lu, Da-Qian; Luo, Qiu-Ming Some unified formulas and representations for the Apostol-type polynomials. (English) Zbl 1422.11050 Adv. Difference Equ. 2015, Paper No. 137, 16 p. (2015). MSC: 11B68 11M35 11B73 33C05 PDFBibTeX XMLCite \textit{D.-Q. Lu} and \textit{Q.-M. Luo}, Adv. Difference Equ. 2015, Paper No. 137, 16 p. (2015; Zbl 1422.11050) Full Text: DOI
Luo, Qiu-Ming Elliptic extensions of the Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1397.11053 Appl. Math. Comput. 261, 156-166 (2015). MSC: 11B68 11F20 11F27 PDFBibTeX XMLCite \textit{Q.-M. Luo}, Appl. Math. Comput. 261, 156--166 (2015; Zbl 1397.11053) Full Text: DOI
Hernández-Llanos, Pedro; Quintana, Yamilet; Urieles, Alejandro About extensions of generalized Apostol-type polynomials. (English) Zbl 1335.11014 Result. Math. 68, No. 1-2, 203-225 (2015). MSC: 11B68 11B65 11B73 05A10 33B99 PDFBibTeX XMLCite \textit{P. Hernández-Llanos} et al., Result. Math. 68, No. 1--2, 203--225 (2015; Zbl 1335.11014) Full Text: DOI
He, Yuan Some new results on products of Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1379.11020 J. Math. Anal. Appl. 431, No. 1, 34-46 (2015). MSC: 11B68 PDFBibTeX XMLCite \textit{Y. He}, J. Math. Anal. Appl. 431, No. 1, 34--46 (2015; Zbl 1379.11020) Full Text: DOI
Khan, Subuhi; Riyasat, Mumtaz A determinantal approach to Sheffer-Appell polynomials via monomiality principle. (English) Zbl 1310.33012 J. Math. Anal. Appl. 421, No. 1, 806-829 (2015). Reviewer: M. Abdessadek Saib (Lyon) MSC: 33C65 PDFBibTeX XMLCite \textit{S. Khan} and \textit{M. Riyasat}, J. Math. Anal. Appl. 421, No. 1, 806--829 (2015; Zbl 1310.33012) Full Text: DOI arXiv
He, Yuan; Araci, Serkan Sums of products of Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1343.11030 Adv. Difference Equ. 2014, Paper No. 155, 13 p. (2014). MSC: 11B68 05A19 PDFBibTeX XMLCite \textit{Y. He} and \textit{S. Araci}, Adv. Difference Equ. 2014, Paper No. 155, 13 p. (2014; Zbl 1343.11030) Full Text: DOI
El-Desouky, B. S.; Gomaa, R. S. A new unified family of generalized Apostol-Euler, Bernoulli and Genocchi polynomials. (English) Zbl 1338.11027 Appl. Math. Comput. 247, 695-702 (2014). MSC: 11B68 PDFBibTeX XMLCite \textit{B. S. El-Desouky} and \textit{R. S. Gomaa}, Appl. Math. Comput. 247, 695--702 (2014; Zbl 1338.11027) Full Text: DOI
Ozden, Hacer; Simsek, Yilmaz Modification and unification of the Apostol-type numbers and polynomials and their applications. (English) Zbl 1334.11015 Appl. Math. Comput. 235, 338-351 (2014). MSC: 11B73 33C45 PDFBibTeX XMLCite \textit{H. Ozden} and \textit{Y. Simsek}, Appl. Math. Comput. 235, 338--351 (2014; Zbl 1334.11015) Full Text: DOI
Luo, Qiu-Ming \(q\)-Apostol-Euler polynomials and \(q\)-alternating sums. (English. Ukrainian original) Zbl 1353.11037 Ukr. Math. J. 65, No. 8, 1231-1246 (2014); translation from Ukr. Mat. Zh. 65, No. 8, 1104-1117 (2013). MSC: 11B68 11B65 33D45 11S40 PDFBibTeX XMLCite \textit{Q.-M. Luo}, Ukr. Math. J. 65, No. 8, 1231--1246 (2014; Zbl 1353.11037); translation from Ukr. Mat. Zh. 65, No. 8, 1104--1117 (2013) Full Text: DOI
Ernst, Thomas On certain generalized \(q\)-Appell polynomial expansions. (English) Zbl 1308.05021 Ann. Univ. Mariae Curie-Skłodowska, Sect. A 68, No. 2, 27-50 (2014). MSC: 05A30 11B68 05A10 PDFBibTeX XMLCite \textit{T. Ernst}, Ann. Univ. Mariae Curie-Skłodowska, Sect. A 68, No. 2, 27--50 (2014; Zbl 1308.05021) Full Text: DOI
Gaboury, S.; Bayad, A. Series representations at special values of generalized Hurwitz-Lerch zeta function. (English) Zbl 1470.11229 Abstr. Appl. Anal. 2013, Article ID 975615, 8 p. (2013). MSC: 11M35 41A60 PDFBibTeX XMLCite \textit{S. Gaboury} and \textit{A. Bayad}, Abstr. Appl. Anal. 2013, Article ID 975615, 8 p. (2013; Zbl 1470.11229) Full Text: DOI
Özarslan, Mehmet Ali Hermite-based unified Apostol-Bernoulli, Euler and Genocchi polynomials. (English) Zbl 1380.11020 Adv. Difference Equ. 2013, Paper No. 116, 13 p. (2013). MSC: 11B68 33C05 PDFBibTeX XMLCite \textit{M. A. Özarslan}, Adv. Difference Equ. 2013, Paper No. 116, 13 p. (2013; Zbl 1380.11020) Full Text: DOI
Özarslan, Mehmet Ali; Bozer, Mehmet Unified Bernstein and Bleimann-Butzer-Hahn basis and its properties. (English) Zbl 1380.11012 Adv. Difference Equ. 2013, Paper No. 55, 14 p. (2013). MSC: 11B65 11B68 30C45 11B73 PDFBibTeX XMLCite \textit{M. A. Özarslan} and \textit{M. Bozer}, Adv. Difference Equ. 2013, Paper No. 55, 14 p. (2013; Zbl 1380.11012) Full Text: DOI
Chen, Si; Cai, Yi; Luo, Qiu-Ming An extension of generalized Apostol-Euler polynomials. (English) Zbl 1380.11013 Adv. Difference Equ. 2013, Paper No. 61, 10 p. (2013). MSC: 11B68 11B73 33C45 PDFBibTeX XMLCite \textit{S. Chen} et al., Adv. Difference Equ. 2013, Paper No. 61, 10 p. (2013; Zbl 1380.11013) Full Text: DOI
Lu, Da-Qian; Xiang, Chang-He; Luo, Qiu-Ming Some results for Apostol-type polynomials associated with umbral algebra. (English) Zbl 1379.05017 Adv. Difference Equ. 2013, Paper No. 201, 13 p. (2013). MSC: 05A40 11B68 05A10 05A15 11B73 PDFBibTeX XMLCite \textit{D.-Q. Lu} et al., Adv. Difference Equ. 2013, Paper No. 201, 13 p. (2013; Zbl 1379.05017) Full Text: DOI
Wang, Jingzhe New recurrence formulae for the Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1375.11013 Adv. Difference Equ. 2013, Paper No. 247, 14 p. (2013). MSC: 11B37 11B68 PDFBibTeX XMLCite \textit{J. Wang}, Adv. Difference Equ. 2013, Paper No. 247, 14 p. (2013; Zbl 1375.11013) Full Text: DOI
Gaboury, Sebastien Some relations involving generalized Hurwitz-Lerch zeta function obtained by means of fractional derivatives with applications to Apostol-type polynomials. (English) Zbl 1347.26021 Adv. Difference Equ. 2013, Paper No. 361, 13 p. (2013). MSC: 26A33 11M35 33C05 11B68 PDFBibTeX XMLCite \textit{S. Gaboury}, Adv. Difference Equ. 2013, Paper No. 361, 13 p. (2013; Zbl 1347.26021) Full Text: DOI
Dere, Rahime; Simsek, Yilmaz; Srivastava, H. M. A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral algebra. (English) Zbl 1295.11023 J. Number Theory 133, No. 10, 3245-3263 (2013). MSC: 11B68 11B73 05A40 PDFBibTeX XMLCite \textit{R. Dere} et al., J. Number Theory 133, No. 10, 3245--3263 (2013; Zbl 1295.11023) Full Text: DOI arXiv
Simsek, Yilmaz Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications. (English) Zbl 1293.11044 Fixed Point Theory Appl. 2013, Paper No. 87, 28 p. (2013). MSC: 11B73 11B68 11S80 PDFBibTeX XMLCite \textit{Y. Simsek}, Fixed Point Theory Appl. 2013, Paper No. 87, 28 p. (2013; Zbl 1293.11044) Full Text: DOI arXiv
Alkan, Mustafa; Simsek, Yilmaz Generating function for \(q\)-Eulerian polynomials and their decomposition and applications. (English) Zbl 1284.05041 Fixed Point Theory Appl. 2013, Paper No. 72, 14 p. (2013). MSC: 11B68 05A40 11S80 PDFBibTeX XMLCite \textit{M. Alkan} and \textit{Y. Simsek}, Fixed Point Theory Appl. 2013, Paper No. 72, 14 p. (2013; Zbl 1284.05041) Full Text: DOI
Srivastava, H. M.; Özarslan, M. A.; Kaanoğlu, C. Some generalized Lagrange-based Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials. (English) Zbl 1292.11043 Russ. J. Math. Phys. 20, No. 1, 110-120 (2013). MSC: 11B68 11B73 33C45 PDFBibTeX XMLCite \textit{H. M. Srivastava} et al., Russ. J. Math. Phys. 20, No. 1, 110--120 (2013; Zbl 1292.11043) Full Text: DOI
Khan, Subuhi; Raza, Nusrat General-Appell polynomials within the context of monomiality principle. (English) Zbl 1268.33009 Int. J. Anal. 2013, Article ID 328032, 11 p. (2013). MSC: 33C45 PDFBibTeX XMLCite \textit{S. Khan} and \textit{N. Raza}, Int. J. Anal. 2013, Article ID 328032, 11 p. (2013; Zbl 1268.33009) Full Text: DOI
He, Yuan; Wang, Chunping Recurrence formulae for Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1377.11024 Adv. Difference Equ. 2012, Paper No. 209, 16 p. (2012). MSC: 11B68 05A19 11B37 PDFBibTeX XMLCite \textit{Y. He} and \textit{C. Wang}, Adv. Difference Equ. 2012, Paper No. 209, 16 p. (2012; Zbl 1377.11024) Full Text: DOI
Luo, Qiu-Ming Multiplication formulas for Apostol-type polynomials and multiple alternating sums. (English. Russian original) Zbl 1285.11039 Math. Notes 91, No. 1, 46-57 (2012); translation from Mat. Zametki 91, No. 1, 54-66 (2012). MSC: 11B68 11B65 05A10 PDFBibTeX XMLCite \textit{Q.-M. Luo}, Math. Notes 91, No. 1, 46--57 (2012; Zbl 1285.11039); translation from Mat. Zametki 91, No. 1, 54--66 (2012) Full Text: DOI
Tremblay, R.; Gaboury, S.; Fugère, B.-J. Some new classes of generalized Apostol-Euler and Apostol-Genocchi polynomials. (English) Zbl 1258.11047 Int. J. Math. Math. Sci. 2012, Article ID 182785, 14 p. (2012). MSC: 11B68 33C45 PDFBibTeX XMLCite \textit{R. Tremblay} et al., Int. J. Math. Math. Sci. 2012, Article ID 182785, 14 p. (2012; Zbl 1258.11047) Full Text: DOI
Kim, Min-Soo; Hu, Su Sums of products of Apostol-Bernoulli numbers. (English) Zbl 1250.11026 Ramanujan J. 28, No. 1, 113-123 (2012). MSC: 11B68 11M35 PDFBibTeX XMLCite \textit{M.-S. Kim} and \textit{S. Hu}, Ramanujan J. 28, No. 1, 113--123 (2012; Zbl 1250.11026) Full Text: DOI
Navas, Luis M.; Ruiz, Francisco J.; Varona, Juan L. Asymptotic estimates for Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1268.11033 Math. Comput. 81, No. 279, 1707-1722 (2012). Reviewer: Tom M. Apostol (Pasadena) MSC: 11B68 42A10 41A60 PDFBibTeX XMLCite \textit{L. M. Navas} et al., Math. Comput. 81, No. 279, 1707--1722 (2012; Zbl 1268.11033) Full Text: DOI arXiv
Lu, Da-Qian; Srivastava, H. M. Some series identities involving the generalized Apostol type and related polynomials. (English) Zbl 1236.33020 Comput. Math. Appl. 62, No. 9, 3591-3602 (2011). MSC: 33C45 11B83 PDFBibTeX XMLCite \textit{D.-Q. Lu} and \textit{H. M. Srivastava}, Comput. Math. Appl. 62, No. 9, 3591--3602 (2011; Zbl 1236.33020) Full Text: DOI
Luo, Qiu-Ming Extensions of the Genocchi polynomials and their Fourier expansions and integral representations. (English) Zbl 1268.33002 Osaka J. Math. 48, No. 2, 291-309 (2011). MSC: 33C05 11B68 33E20 42A16 PDFBibTeX XMLCite \textit{Q.-M. Luo}, Osaka J. Math. 48, No. 2, 291--309 (2011; Zbl 1268.33002) Full Text: Euclid
Özarslan, M. Ali Unified Apostol-Bernoulli, Euler and Genocchi polynomials. (English) Zbl 1231.33013 Comput. Math. Appl. 62, No. 6, 2452-2462 (2011). MSC: 11B68 33C45 33C05 PDFBibTeX XMLCite \textit{M. A. Özarslan}, Comput. Math. Appl. 62, No. 6, 2452--2462 (2011; Zbl 1231.33013) Full Text: DOI
Tremblay, R.; Gaboury, S.; Fugère, B.-J. A new class of generalized Apostol-Bernoulli polynomials and some analogues of the Srivastava-Pintér addition theorem. (English) Zbl 1258.11046 Appl. Math. Lett. 24, No. 11, 1888-1893 (2011). MSC: 11B68 11B73 33C45 PDFBibTeX XMLCite \textit{R. Tremblay} et al., Appl. Math. Lett. 24, No. 11, 1888--1893 (2011; Zbl 1258.11046) Full Text: DOI
Luo, Qiu-Ming; Srivastava, H. M. Some generalizations of the Apostol-Genocchi polynomials and the Stirling numbers of the second kind. (English) Zbl 1218.11026 Appl. Math. Comput. 217, No. 12, 5702-5728 (2011). Reviewer: Tom M. Apostol (Pasadena) MSC: 11B83 PDFBibTeX XMLCite \textit{Q.-M. Luo} and \textit{H. M. Srivastava}, Appl. Math. Comput. 217, No. 12, 5702--5728 (2011; Zbl 1218.11026) Full Text: DOI
Khan, Subuhi; Al-Saad, Mustafa Walid; Khan, Rehana Laguerre-based Appell polynomials: properties and applications. (English) Zbl 1201.33006 Math. Comput. Modelling 52, No. 1-2, 247-259 (2010). MSC: 33C65 11B68 PDFBibTeX XMLCite \textit{S. Khan} et al., Math. Comput. Modelling 52, No. 1--2, 247--259 (2010; Zbl 1201.33006) Full Text: DOI
Prévost, Marc Padé approximation and Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1191.41005 J. Comput. Appl. Math. 233, No. 11, 3005-3017 (2010). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A21 11B68 PDFBibTeX XMLCite \textit{M. Prévost}, J. Comput. Appl. Math. 233, No. 11, 3005--3017 (2010; Zbl 1191.41005) Full Text: DOI
Luo, Qiu-Ming Fourier expansions and integral representations for the Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1214.11032 Math. Comput. 78, No. 268, 2193-2208 (2009). Reviewer: Tom M. Apostol (Pasadena) MSC: 11B68 11M35 42A16 PDFBibTeX XMLCite \textit{Q.-M. Luo}, Math. Comput. 78, No. 268, 2193--2208 (2009; Zbl 1214.11032) Full Text: DOI
Hwang, Kyung-Won; Kim, Young-Hee; Kim, Taekyun Interpolation functions of \(q\)-extensions of Apostol’s type Euler polynomials. (English) Zbl 1176.41004 J. Inequal. Appl. 2009, Article ID 451217, 12 p. (2009). MSC: 41A05 11B68 11M35 PDFBibTeX XMLCite \textit{K.-W. Hwang} et al., J. Inequal. Appl. 2009, Article ID 451217, 12 p. (2009; Zbl 1176.41004) Full Text: DOI EuDML
Kim, Young-Hee; Kim, Wonjoo; Jang, Lee-Chae On the \(q\)-extension of Apostol-Euler numbers and polynomials. (English) Zbl 1247.11028 Abstr. Appl. Anal. 2008, Article ID 296159, 10 p. (2008). MSC: 11B68 11B65 11M35 11S40 PDFBibTeX XMLCite \textit{Y.-H. Kim} et al., Abstr. Appl. Anal. 2008, Article ID 296159, 10 p. (2008; Zbl 1247.11028) Full Text: DOI
Wang, Weiping; Jia, Cangzhi; Wang, Tianming Some results on the Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1151.11012 Comput. Math. Appl. 55, No. 6, 1322-1332 (2008). Reviewer: Carsten Schneider (Linz) MSC: 11B65 33C45 PDFBibTeX XMLCite \textit{W. Wang} et al., Comput. Math. Appl. 55, No. 6, 1322--1332 (2008; Zbl 1151.11012) Full Text: DOI
Choi, Junesang; Anderson, P. J.; Srivastava, H. M. Some \(q\)-extensions of the Apostol-Bernoulli and the Apostol-Euler polynomials of order \(n\), and the multiple Hurwitz zeta function. (English) Zbl 1146.33001 Appl. Math. Comput. 199, No. 2, 723-737 (2008). Reviewer: Pushpa N. Rathie (Brasilia) MSC: 33D15 11B65 11M35 33D45 PDFBibTeX XMLCite \textit{J. Choi} et al., Appl. Math. Comput. 199, No. 2, 723--737 (2008; Zbl 1146.33001) Full Text: DOI
Luo, Qiu-Ming On the Apostol-Bernoulli polynomials. (English) Zbl 1073.33001 Cent. Eur. J. Math. 2, No. 4, 509-515 (2004). Reviewer: Hari M. Srivastava (Victoria) MSC: 11B68 11M35 33C05 PDFBibTeX XMLCite \textit{Q.-M. Luo}, Cent. Eur. J. Math. 2, No. 4, 509--515 (2004; Zbl 1073.33001) Full Text: DOI