On the Riemann-Liouville Fractional q-Integral Operator Involving a Basic Analogue of Fox H-Function

Kalla, S.; Yadav, R.; Purohit, S.

Fractional Calculus and Applied Analysis (2005)

  • Volume: 8, Issue: 3, page 313-322
  • ISSN: 1311-0454

Abstract

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2000 Mathematics Subject Classification: 33D60, 26A33, 33C60The present paper envisages the applications of Riemann-Liouville fractional q-integral operator to a basic analogue of Fox H-function. Results involving the basic hypergeometric functions like Gq(.), Jv(x; q), Yv(x; q),Kv(x; q), Hv(x; q) and various other q-elementary functions associated with the Riemann-Liouville fractional q-integral operator have been deduced as special cases of the main result.

How to cite

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Kalla, S., Yadav, R., and Purohit, S.. "On the Riemann-Liouville Fractional q-Integral Operator Involving a Basic Analogue of Fox H-Function." Fractional Calculus and Applied Analysis 8.3 (2005): 313-322. <http://eudml.org/doc/11301>.

@article{Kalla2005,
abstract = {2000 Mathematics Subject Classification: 33D60, 26A33, 33C60The present paper envisages the applications of Riemann-Liouville fractional q-integral operator to a basic analogue of Fox H-function. Results involving the basic hypergeometric functions like Gq(.), Jv(x; q), Yv(x; q),Kv(x; q), Hv(x; q) and various other q-elementary functions associated with the Riemann-Liouville fractional q-integral operator have been deduced as special cases of the main result.},
author = {Kalla, S., Yadav, R., Purohit, S.},
journal = {Fractional Calculus and Applied Analysis},
keywords = {33D60; 26A33; 33C60},
language = {eng},
number = {3},
pages = {313-322},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On the Riemann-Liouville Fractional q-Integral Operator Involving a Basic Analogue of Fox H-Function},
url = {http://eudml.org/doc/11301},
volume = {8},
year = {2005},
}

TY - JOUR
AU - Kalla, S.
AU - Yadav, R.
AU - Purohit, S.
TI - On the Riemann-Liouville Fractional q-Integral Operator Involving a Basic Analogue of Fox H-Function
JO - Fractional Calculus and Applied Analysis
PY - 2005
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 8
IS - 3
SP - 313
EP - 322
AB - 2000 Mathematics Subject Classification: 33D60, 26A33, 33C60The present paper envisages the applications of Riemann-Liouville fractional q-integral operator to a basic analogue of Fox H-function. Results involving the basic hypergeometric functions like Gq(.), Jv(x; q), Yv(x; q),Kv(x; q), Hv(x; q) and various other q-elementary functions associated with the Riemann-Liouville fractional q-integral operator have been deduced as special cases of the main result.
LA - eng
KW - 33D60; 26A33; 33C60
UR - http://eudml.org/doc/11301
ER -

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