Summation theorems for \({_p}F_{q+1}[(\alpha_p);g\pm m, (\beta_q); z]\) via Mellin-Barnes type contour integral and its applications

zbMath1351.33004MaRDI QIDQ345224

M. S. Baboo, M. I. Quresh

Publication date: 1 December 2016

Published in: Asia Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://apjm.apacific.org/PDFs/3-2-193-207.pdf

zbMATH Keywords

generalized hypergeometric functionMeijer's G-functionLegendre duplication formulageneralized Kummer's first, second and third summation theoremsMellin-Barnes type contour integral

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Generalized hypergeometric series, ({}_pF_q) (33C20) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Classical hypergeometric functions, ({}_2F_1) (33C05)

Cites Work

• Some unified and generalized Kummer's first summation theorems with applications in Laplace transform technique
• Generalized hypergeometric functions with applications in statistics and physical sciences
• Kummer's theorem and its contiguous identities
• The special functions and their approximations. Vol. I, II
• Generalizations of classical summation theorems for the series₂F₁and₃F₂with applications
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