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On the Generalized Associated Legendre Functions

Virchenko, Nina, Rumiantseva, Olena (2008)

Fractional Calculus and Applied Analysis

Mathematics Subject Classification: 33C60, 33C20, 44A15This paper is devoted to an important case of Wright’s hypergeometric function 2Fτ,β1(a, b; c; z) = 2Fτ,β1(z), to studying its basic properties and to application of 2Fτ,β1(z) to the generalization of the associated Legendre functions.

On the Generalized Confluent Hypergeometric Function and Its Application

Virchenko, Nina (2006)

Fractional Calculus and Applied Analysis

2000 Mathematics Subject Classification: 26A33, 33C20This paper is devoted to further development of important case of Wright’s hypergeometric function and its applications to the generalization of Γ-, B-, ψ-, ζ-, Volterra functions.

On the H -function.

Kilbas, Anatoly A., Saigo, Megumi (1999)

Journal of Applied Mathematics and Stochastic Analysis

On the incomplete gamma function and the neutrix convolution

Brian Fisher, Biljana Jolevska-Tuneska, Arpad Takači (2003)

Mathematica Bohemica

The incomplete Gamma function γ ( α , x ) and its associated functions γ ( α , x + ) and γ ( α , x - ) are defined as locally summable functions on the real line and some convolutions and neutrix convolutions of these functions and the functions x r and x - r are then found.

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