Generalized q-Taylor's series and applications 1

S. D. Purohit,R. K. Raina

Generalized q-Taylor's series and applications 1

2010

S. D. Purohit
R. K. Raina

A generalized q-Taylor’s formula in fractional q-calculus is established and used in deriving certain q-generating functions for the basic hypergeometric functions and basic Fox’s H-function.

Keywords:

Hypergeometric identity
Confluent hypergeometric function
Hypergeometric function
Hypergeometric function of a matrix argument
Generalized hypergeometric function
Algebra
Basic hypergeometric series
Barnes integral
Mathematical analysis
Meijer G-function
Mathematics

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