On the Generalized Associated Legendre Functions

Virchenko, Nina; Rumiantseva, Olena

Fractional Calculus and Applied Analysis (2008)

  • Volume: 11, Issue: 2, page 175-185
  • ISSN: 1311-0454

Abstract

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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.

How to cite

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Virchenko, Nina, and Rumiantseva, Olena. "On the Generalized Associated Legendre Functions." Fractional Calculus and Applied Analysis 11.2 (2008): 175-185. <http://eudml.org/doc/11338>.

@article{Virchenko2008,
abstract = {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.},
author = {Virchenko, Nina, Rumiantseva, Olena},
journal = {Fractional Calculus and Applied Analysis},
keywords = {33C60; 33C20; 44A15},
language = {eng},
number = {2},
pages = {175-185},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On the Generalized Associated Legendre Functions},
url = {http://eudml.org/doc/11338},
volume = {11},
year = {2008},
}

TY - JOUR
AU - Virchenko, Nina
AU - Rumiantseva, Olena
TI - On the Generalized Associated Legendre Functions
JO - Fractional Calculus and Applied Analysis
PY - 2008
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 11
IS - 2
SP - 175
EP - 185
AB - 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.
LA - eng
KW - 33C60; 33C20; 44A15
UR - http://eudml.org/doc/11338
ER -

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