On finite forms of Bailey's 2ψ2 transformation formulae and their applications

DOI10.1142/S1793042116501323zbMath1362.33022OpenAlexW2288002641MaRDI QIDQ2833090

D. D. Somashekara, Abdelmejid Bayad, K. Narasimha Murthy

Publication date: 16 November 2016

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042116501323

zbMATH Keywords

mock theta functionBailey's transformationbilateral transformation

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Cites Work

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• On the seventh order mock theta functions
• Ramanujan's ``Lost Notebook. VII: The sixth order mock theta functions
• Another proof of Bailey's \({}_6\psi_6\) summation
• Abel-Rothe Type Generalizations of Jacobi's Triple Product Identity
• SERIES OF HYPERGEOMETRIC TYPE WHICH ARE INFINITE IN BOTH DIRECTIONS
• The Final Problem : An Account of the Mock Theta Functions
• ON THE BASIC BILATERAL HYPERGEOMETRIC SERIES ₂ψ₂

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