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In the present paper, we further study the generalized fractional differintegral (integral and differential) operators involving Appell's function $F_3$ introduced by Saigo-Maeda [9], and are applied to the K-Series defined by Gehlot and Ram [3]. On account of the general nature of our main results, a large number of results obtained earlier by several authors such as Ram et al. [7], Saxena et al. [14], Saxena and Saigo [15] and many more follow as special cases.
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참고문헌 (16)
참고문헌 신청
J. Choi / 2014 / Certain unified fractional integrals and derivatives for a product of Aleph function and a general class of multivariable polynomials / Journal of Inequalities and Applications :15
A. Erd elyi / 1953 / Higher Transcen- dental Functions, 1 / McGraw-Hill
K.S. Gehlot / 2012 / Integral representation of K-Series / International Transactions in Mathematical Sciences and Computers 4(2):387~396
D. Kumar / 2014 / Fractional integrals and derivatives of the generalized Mittag-Le er type function / International Scholarly Research Notices :5
D. Kumar / 2014 / Fractional differintegral operators of the generalized Mittag-Le er type function / Malaya J. Mat. 2(4):419~425
A. Erd elyi / 1953 / Higher Transcen- dental Functions, 1 / McGraw-Hill
K.S. Gehlot / 2012 / Integral representation of K-Series / International Transactions in Mathematical Sciences and Computers 4(2):387~396
D. Kumar / 2014 / Fractional integrals and derivatives of the generalized Mittag-Le er type function / International Scholarly Research Notices :5
D. Kumar / 2014 / Fractional differintegral operators of the generalized Mittag-Le er type function / Malaya J. Mat. 2(4):419~425
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