On certain generalized families of unified elliptic-type integrals pertaining to Euler integrals and generating functions

DOI10.1007/S12215-009-0008-0zbMath1176.33017OpenAlexW2080633926MaRDI QIDQ1032593

Shared C. Pandey, Vinod B. L. Chaurasia

Publication date: 26 October 2009

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-009-0008-0

zbMATH Keywords

generating functionselliptic-type integralsEuler-type integralsgeneralized lauricella functions

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Appell, Horn and Lauricella functions (33C65) Elliptic functions and integrals (33E05) Elliptic integrals as hypergeometric functions (33C75)

Related Items (4)

A unified elliptic-type integral and associated recurrence relations ⋮ CERTAIN UNIFIED INTEGRALS INVOLVING A PRODUCT OF THE FOUR-PARAMETER BESSEL FUNCTION AND JACOBI POLYNOMIAL ⋮ Generalized elliptic-type integrals and generating functions ⋮ Unified integral formulae pertaining to elliptic-type integrals

Cites Work

• Generalized elliptic-type integrals and their representations
• Exact series solution to the Epstein-Hubbell generalized elliptic type integral using complex variable residue theory
• Some families of generalized elliptic-type integrals
• Asymptotic formulas for generalized elliptic-type integrals
• Study of a class of generalized elliptic type integrals.
• Theorems on bilinear generating functions
• Electromagnetic scattering by a perfectly conducting elliptic disk
• UNIFIED ELLIPTIC-TYPE INTEGRALS AND ASYMPTOTIC FORMULAS
• Further results on generalized elliptic-type integrals
• Bilinear and bilateral generating functions of generalized polynomials
• ASYMPTOTIC FORMULAS FOR UNIFIED ELLIPTIC-TYPE INTEGRALS
• Asymptotic formulas for unified elliptic-type integrals
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• Multiple Elliptic Integrals
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