文章基本信息

标题：{q}-analogues of Saigo's fractional calculus operators
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作者：Mridula Garg ; Lata Chanchlani
期刊名称：Global Health Governance
电子版ISSN：1939-2389
出版年度：2011
卷号：3
期号：4
语种：English
出版社：Seton Hall University
摘要：M. Saigo [Math. Rep. Coll. Gen. Educ., Kyushu Univ., 11 (1978) 135-143] has defined a pair of fractional integral operators and fractional derivatives involving generalizd hypergeometric function. The aim of present paper is to define their q-analogues. First, we define a pair of q-analogues of Saigo’s fractional integral operators and establish some results for it. Next, we define a pair of q-analogues of Saigo’s fractional derivatives and prove that these are left inverses of the corresponding fractional integral operators. We also obtain q-Mellin transforms of all these operators.