Çetinkaya, Asena; Karp, Dmitrii; Prilepkina, Elena Hypergeometric functions at unit argument: simple derivation of old and new identities. (English) Zbl 07431237 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 098, 25 p. (2021). MSC: 33C20 33C60 33C70 PDF BibTeX XML Cite \textit{A. Çetinkaya} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 098, 25 p. (2021; Zbl 07431237) Full Text: DOI arXiv OpenURL
Qureshi, Mohammad Idris; Dar, Showkat Ahmad Generalizations and applications of Srinivasa Ramanujan’s integral associated with infinite Fourier sine transforms in terms of Meijer’s \(G\)-function. (English) Zbl 1481.42006 Analysis, München 41, No. 3, 145-153 (2021). MSC: 42A38 33C20 33C60 33E20 PDF BibTeX XML Cite \textit{M. I. Qureshi} and \textit{S. A. Dar}, Analysis, München 41, No. 3, 145--153 (2021; Zbl 1481.42006) Full Text: DOI OpenURL
Candezano, M. A. C.; Karp, D. B.; Prilepkina, E. G. Further applications of the \(G\) function integral method. (English) Zbl 1450.33012 Lobachevskii J. Math. 41, No. 5, 747-762 (2020). MSC: 33C60 PDF BibTeX XML Cite \textit{M. A. C. Candezano} et al., Lobachevskii J. Math. 41, No. 5, 747--762 (2020; Zbl 1450.33012) Full Text: DOI arXiv OpenURL
Karp, Dmitrii B.; López, José L. An extension of the multiple Erdélyi-Kober operator and representations of the generalized hypergeometric functions. (English) Zbl 1426.33018 Fract. Calc. Appl. Anal. 21, No. 5, 1360-1376 (2018). MSC: 33C20 26A33 33C60 PDF BibTeX XML Cite \textit{D. B. Karp} and \textit{J. L. López}, Fract. Calc. Appl. Anal. 21, No. 5, 1360--1376 (2018; Zbl 1426.33018) Full Text: DOI Link OpenURL
Kalmykov, S. I.; Karp, D. B. Log-concavity and Turán-type inequalities for the generalized hypergeometric function. (English) Zbl 1399.33012 Anal. Math. 43, No. 4, 567-580 (2017). MSC: 33C20 26A51 PDF BibTeX XML Cite \textit{S. I. Kalmykov} and \textit{D. B. Karp}, Anal. Math. 43, No. 4, 567--580 (2017; Zbl 1399.33012) Full Text: DOI arXiv OpenURL
Karp, D. B.; Prilepkina, E. G. Applications of the Stieltjes and Laplace transform representations of the hypergeometric functions. (English) Zbl 1379.33014 Integral Transforms Spec. Funct. 28, No. 10, 710-731 (2017). MSC: 33C20 44A10 44A20 33C60 PDF BibTeX XML Cite \textit{D. B. Karp} and \textit{E. G. Prilepkina}, Integral Transforms Spec. Funct. 28, No. 10, 710--731 (2017; Zbl 1379.33014) Full Text: DOI arXiv OpenURL
Qureshi, M. I.; Baboo, M. S. Summation theorems for \({_{p+1}}F_{q}[a\pm m, (\alpha_p); (\beta_q); z]\) via Mellin-Barnes type contour integral and its applications. (English) Zbl 1364.33012 Asia Pac. J. Math. 4, No. 1, 75-89 (2017). MSC: 33C20 33C05 33B15 33C60 PDF BibTeX XML Cite \textit{M. I. Qureshi} and \textit{M. S. Baboo}, Asia Pac. J. Math. 4, No. 1, 75--89 (2017; Zbl 1364.33012) Full Text: Link OpenURL
Quresh, M. I.; Baboo, M. S. Summation theorems for \({_p}F_{q+1}[(\alpha_p);g\pm m, (\beta_q); z]\) via Mellin-Barnes type contour integral and its applications. (English) Zbl 1351.33004 Asia Pac. J. Math. 3, No. 2, 193-207 (2016). MSC: 33B15 33C20 33C05 33C60 PDF BibTeX XML Cite \textit{M. I. Quresh} and \textit{M. S. Baboo}, Asia Pac. J. Math. 3, No. 2, 193--207 (2016; Zbl 1351.33004) Full Text: Link OpenURL
Karp, Dmitrii; Prilepkina, Elena Hypergeometric differential equation and new identities for the coefficients of Nørlund and Bühring. (English) Zbl 1342.33013 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 052, 23 p. (2016). MSC: 33C20 33C60 34M35 PDF BibTeX XML Cite \textit{D. Karp} and \textit{E. Prilepkina}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 052, 23 p. (2016; Zbl 1342.33013) Full Text: DOI arXiv OpenURL
Qureshi, M. I.; Kabra, Deepak Kumar; Baboo, M. S. Laplace transforms of multiple hypergeometric functions using Mellin-Barnes type contour integration. (English) Zbl 1352.44001 Asia Pac. J. Math. 2, No. 2, 94-107 (2015). MSC: 44A10 33C20 33C60 PDF BibTeX XML Cite \textit{M. I. Qureshi} et al., Asia Pac. J. Math. 2, No. 2, 94--107 (2015; Zbl 1352.44001) Full Text: Link OpenURL
Pishkoo, Amir; Darus, Maslina Fractional differintegral transformations of univalent Meijer’s \(G\)-functions. (English) Zbl 1296.30021 J. Inequal. Appl. 2012, Paper No. 36, 10 p. (2012). MSC: 30C45 33C60 33E20 PDF BibTeX XML Cite \textit{A. Pishkoo} and \textit{M. Darus}, J. Inequal. Appl. 2012, Paper No. 36, 10 p. (2012; Zbl 1296.30021) Full Text: DOI OpenURL
Khan, M. J. S.; Khan, M. I. Conditional expectation of function of dual generalized order statistics: an alternative approach. (English) Zbl 1254.62012 ProbStat Forum 5, Article No. 09, 80-85 (2012). MSC: 62E10 62G30 33C90 62G32 PDF BibTeX XML Cite \textit{M. J. S. Khan} and \textit{M. I. Khan}, ProbStat Forum 5, Article No. 09, 80--85 (2012; Zbl 1254.62012) Full Text: Link OpenURL
Bekker, A.; Roux, J. J. J.; Arashi, M. Wishart ratios with dependent structure: New members of the bimatrix beta type IV. (English) Zbl 1221.62081 Linear Algebra Appl. 435, No. 12, 3243-3260 (2011). MSC: 62H10 62H05 33C90 PDF BibTeX XML Cite \textit{A. Bekker} et al., Linear Algebra Appl. 435, No. 12, 3243--3260 (2011; Zbl 1221.62081) Full Text: DOI OpenURL
Pogány, Tibor K.; Saxena, Ram K. Some Mathieu-type series for generalized \(H\)-function associated with a certain class of Feynman integrals. (English) Zbl 1206.33014 Integral Transforms Spec. Funct. 21, No. 9-10, 765-770 (2010). Reviewer: Wadim Zudilin (Bonn) MSC: 33C60 33C20 40G99 44A20 PDF BibTeX XML Cite \textit{T. K. Pogány} and \textit{R. K. Saxena}, Integral Transforms Spec. Funct. 21, No. 9--10, 765--770 (2010; Zbl 1206.33014) Full Text: DOI OpenURL
Srivastava, H. M.; Qureshi, M. I.; Singh, Rahul; Arora, Ashish A family of hypergeometric integrals associated with Ramanujan’s integral formula. (English) Zbl 1179.33008 Adv. Stud. Contemp. Math., Kyungshang 18, No. 2, 113-125 (2009). MSC: 33C20 33C60 33C05 33C65 PDF BibTeX XML Cite \textit{H. M. Srivastava} et al., Adv. Stud. Contemp. Math., Kyungshang 18, No. 2, 113--125 (2009; Zbl 1179.33008) OpenURL
Pathan, M. A.; Garg, Mridula; Agrawal, Jaya On a new generalized beta distribution. (English) Zbl 1200.60016 East-West J. Math. 10, No. 1, 45-54 (2008). MSC: 60E05 44A10 33C60 60E10 PDF BibTeX XML Cite \textit{M. A. Pathan} et al., East-West J. Math. 10, No. 1, 45--54 (2008; Zbl 1200.60016) OpenURL
Pogány, Tibor K.; Tomovski, Živorad On Mathieu-type series whose terms contain a generalized hypergeometric function \(_pF_q\) and Meijer’s \(G\)-function. (English) Zbl 1144.33301 Math. Comput. Modelling 47, No. 9-10, 952-969 (2008). MSC: 33E20 33C20 33C60 PDF BibTeX XML Cite \textit{T. K. Pogány} and \textit{Ž. Tomovski}, Math. Comput. Modelling 47, No. 9--10, 952--969 (2008; Zbl 1144.33301) Full Text: DOI OpenURL
Thomas, Seemon; Thannippara, Alex Distribution of the \(\Lambda \)-criterion for sphericity test and its connection to a generalized Dirichlet model. (English) Zbl 1145.62046 Commun. Stat., Simulation Comput. 37, No. 7, 1385-1395 (2008). MSC: 62H10 62H15 65C60 33C90 PDF BibTeX XML Cite \textit{S. Thomas} and \textit{A. Thannippara}, Commun. Stat., Simulation Comput. 37, No. 7, 1385--1395 (2008; Zbl 1145.62046) Full Text: DOI OpenURL
Kiryakova, V.; Saigo, M. Criteria for generalized fractional integrals to preserve univalency of analytic functions. (English) Zbl 1088.30006 C. R. Acad. Bulg. Sci. 58, No. 10, 1127-1134 (2005). Reviewer: Angela Slavova (Sofia) MSC: 30C45 26A33 33C60 PDF BibTeX XML Cite \textit{V. Kiryakova} and \textit{M. Saigo}, C. R. Acad. Bulg. Sci. 58, No. 10, 1127--1134 (2005; Zbl 1088.30006) OpenURL
Kilbas, Anatoly A.; Repin, Oleg A.; Saigo, Megumi Generalized fractional integral transforms with Gauss function kernels as \(G\)-transforms. (English) Zbl 1028.44004 Integral Transforms Spec. Funct. 13, No. 3, 285-307 (2002). Reviewer: Osman Yürekli (Ithaca) MSC: 44A15 26A33 33C60 PDF BibTeX XML Cite \textit{A. A. Kilbas} et al., Integral Transforms Spec. Funct. 13, No. 3, 285--307 (2002; Zbl 1028.44004) Full Text: DOI OpenURL
Miller, Allen R.; Srivastava, H. M. An alternative derivation of closed-form representations for multidimensional lattice sums of generalized hypergeometric functions. (English) Zbl 0974.33012 J. Phys. A, Math. Gen. 34, No. 13, 2777-2785 (2001). Reviewer: Robert G.Buschman (Langlois) MSC: 33C60 33C20 33C10 PDF BibTeX XML Cite \textit{A. R. Miller} and \textit{H. M. Srivastava}, J. Phys. A, Math. Gen. 34, No. 13, 2777--2785 (2001; Zbl 0974.33012) Full Text: DOI OpenURL
Dimovski, Ivan; Kiryakova, Virginia The Obrechkoff integral transform: Properties and relation to a generalized fractional calculus. (English) Zbl 0956.44002 Numer. Funct. Anal. Optimization 21, No. 1-2, 121-144 (2000). Reviewer: P.K.Banerji (Jodhpur) MSC: 44A15 26A33 33C60 44A10 PDF BibTeX XML Cite \textit{I. Dimovski} and \textit{V. Kiryakova}, Numer. Funct. Anal. Optim. 21, No. 1--2, 121--144 (2000; Zbl 0956.44002) Full Text: DOI OpenURL
Kiryakova, V.; Saigo, M.; Srivastava, H. M. Some criteria for univalence of analytic functions involving generalized fractional calculus operators. (English) Zbl 0951.30012 Fract. Calc. Appl. Anal. 1, No. 1, 79-104 (1998). MSC: 30C45 26A33 PDF BibTeX XML Cite \textit{V. Kiryakova} et al., Fract. Calc. Appl. Anal. 1, No. 1, 79--104 (1998; Zbl 0951.30012) OpenURL
Babaev, Eh. S.; Dzhalilov, N. S.; Zhugzhda, Yu. D. Nonadiabatic magneto-acoustic-gravity waves in a stratified atmosphere. (Russian. English summary) Zbl 0846.76097 Astron. Zh. 72, No. 2, 240-249 (1995). MSC: 76W05 86A10 PDF BibTeX XML Cite \textit{Eh. S. Babaev} et al., Astron. Zh. 72, No. 2, 240--249 (1995; Zbl 0846.76097) OpenURL
Kiryakova, V. S.; Hernández Suárez, V. Bessel-Clifford third order differential operator and corresponding Laplace type integral transform. (English) Zbl 0839.44001 Diss. Math. 340, 143-161 (1995). Reviewer: W.Lamb (Glasgow) MSC: 44A10 26A33 33C60 PDF BibTeX XML Cite \textit{V. S. Kiryakova} and \textit{V. Hernández Suárez}, Diss. Math. 340, 143--161 (1995; Zbl 0839.44001) OpenURL
Kiryakova, V. S. Generalized fractional calculus, special functions and integral transforms. (English) Zbl 0917.26005 Rusev, P. (ed.) et al., Transform methods and special functions. Proceedings of the 1st international workshop, Bankya, Bulgaria, August 12–17, 1994. Sofia: SCT Publishing, 123-149 (1995). MSC: 26A33 33C60 44A10 30C45 PDF BibTeX XML Cite \textit{V. S. Kiryakova}, in: Transform methods and special functions. Proceedings of the 1st international workshop, Bankya, Bulgaria, August 12--17, 1994. Sofia: SCT Publishing. 123--149 (1995; Zbl 0917.26005) OpenURL
Stoyanov, B. J.; Farrell, R. A.; Bird, J. F. Asymptotic expansions of integrals of two Bessel functions via the generalized hypergeometric and Meijer functions. (English) Zbl 0804.33002 J. Comput. Appl. Math. 50, No. 1-3, 533-543 (1994). Reviewer: A.M.Mathai (Montreal) MSC: 33C10 33C60 33C20 PDF BibTeX XML Cite \textit{B. J. Stoyanov} et al., J. Comput. Appl. Math. 50, No. 1--3, 533--543 (1994; Zbl 0804.33002) Full Text: DOI OpenURL
Benini, Luiz Carlos On the exact distribution of Votaw’s criterion \(\bar L_1(vc)\). (Portuguese. English summary) Zbl 0735.62016 Rev. Mat. Estat. 8, 83-94 (1990). MSC: 62E15 33C60 PDF BibTeX XML Cite \textit{L. C. Benini}, Rev. Mat. Estat. 8, 83--94 (1990; Zbl 0735.62016) OpenURL
Dahiya, R. S.; Jowhar, I. H. Two dimensional Laplace transforms of generalized hypergeometric functions. (English) Zbl 0638.44005 Int. J. Math. Math. Sci. 11, No. 1, 167-176 (1988). Reviewer: Li Gang MSC: 44A30 44A10 33C60 PDF BibTeX XML Cite \textit{R. S. Dahiya} and \textit{I. H. Jowhar}, Int. J. Math. Math. Sci. 11, No. 1, 167--176 (1988; Zbl 0638.44005) Full Text: DOI EuDML OpenURL
Pederzoli, G.; Rathie, P. N. On the exact distribution of Votaw’s \(L_ 1(vc)\) criterion. (Spanish. English summary) Zbl 0731.62057 Trab. Estad. 2, No. 1, 79-87 (1987). MSC: 62E15 62H10 33C60 PDF BibTeX XML Cite \textit{G. Pederzoli} and \textit{P. N. Rathie}, Trab. Estad. 2, No. 1, 79--87 (1987; Zbl 0731.62057) Full Text: DOI EuDML OpenURL
Sharma, C. K.; Lamba, A. C. Some inequalities for the multivariable H-function. (English) Zbl 0635.33002 Jñānābha 17, 149-154 (1987). Reviewer: R.K.Raina MSC: 33C60 33C05 PDF BibTeX XML Cite \textit{C. K. Sharma} and \textit{A. C. Lamba}, Jñānābha 17, 149--154 (1987; Zbl 0635.33002) OpenURL
Nagar, Daya K. Distribution of LRC for testing multiple homogeneity of covariance matrices in the complex case. (English) Zbl 0631.62061 Gujarat Stat. Rev. 14, No. 2, 31-40 (1987). MSC: 62H10 62H15 33C60 PDF BibTeX XML Cite \textit{D. K. Nagar}, Gujarat Stat. Rev. 14, No. 2, 31--40 (1987; Zbl 0631.62061) OpenURL
McBride, Adam C. Fractional powers of a class of Mellin multiplier transforms. III. (English) Zbl 0599.44003 Appl. Anal. 21, 151-173 (1986). Reviewer: E.Gesztelyi MSC: 44A10 46F12 33C60 47Gxx 47F05 46F05 PDF BibTeX XML Cite \textit{A. C. McBride}, Appl. Anal. 21, 151--173 (1986; Zbl 0599.44003) Full Text: DOI OpenURL
Mathai, A. M.; Tracy, D. S. Computable representations of a Mellin-Barnes integral through statistical technique. (English) Zbl 0592.62020 Metron 43, No. 1-2, 117-126 (1985). MSC: 62E99 33C60 PDF BibTeX XML Cite \textit{A. M. Mathai} and \textit{D. S. Tracy}, Metron 43, No. 1--2, 117--126 (1985; Zbl 0592.62020) OpenURL
Indurkar, P. N.; Saxena, R. K. Some properties of the generalized Kummer transform of two variables. I. (English) Zbl 0593.44001 J. Indian Acad. Math. 6, 44-50 (1984). Reviewer: R.K.Raina MSC: 44A15 33C60 PDF BibTeX XML Cite \textit{P. N. Indurkar} and \textit{R. K. Saxena}, J. Indian Acad. Math. 6, 44--50 (1984; Zbl 0593.44001) OpenURL
Sharma, S. D.; Gupta, R. K. Integrals involving spheroidal functions and Fox’s H-function. (English) Zbl 0405.33004 Acta Cienc. Indica 3, 281-288 (1977). MSC: 33C60 33E10 PDF BibTeX XML Cite \textit{S. D. Sharma} and \textit{R. K. Gupta}, Acta Cienc. Indica 3, 281--288 (1977; Zbl 0405.33004) OpenURL
Singhal, B. M. Operational techniques with certain double generalized transform. (English) Zbl 0426.33004 Indian J. Pure Appl. Math. 7, 1305-1314 (1976). MSC: 33C60 33C55 33C45 PDF BibTeX XML Cite \textit{B. M. Singhal}, Indian J. Pure Appl. Math. 7, 1305--1314 (1976; Zbl 0426.33004) OpenURL
Sevaria, K. S. Integration with respect to parameter. (English) Zbl 0439.33004 Proc. Natl. Acad. Sci. India, Sect. A 45, 121-126 (1975). MSC: 33C05 33C60 44A20 PDF BibTeX XML Cite \textit{K. S. Sevaria}, Proc. Natl. Acad. Sci. India, Sect. A 45, 121--126 (1975; Zbl 0439.33004) OpenURL