# 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

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topKalla, 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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