Research Article

MERICHEV-SAIGO-MAEDA FRACTIONAL INTEGRATION OPERATOR ASSOCIATED WITH SRIVASTAVA'S POLYNOMIAL AND GAUSS HYPERGEOMETRIC FUNCTIONS

Volume: 5 Number: 1 April 1, 2017
EN

MERICHEV-SAIGO-MAEDA FRACTIONAL INTEGRATION OPERATOR ASSOCIATED WITH SRIVASTAVA'S POLYNOMIAL AND GAUSS HYPERGEOMETRIC FUNCTIONS

Abstract

The object of the present paper is to establish seven theorems for the Marichev-Saigo-Maeda operators of fractional integration of the product for the Srivastava polynomial with Gauss hypergeometric function. The theorems established in this paper are of general character and provide extension of the recently given by results Saxena, Ram and Suthar [11] and Singh and Singh [12]. Some interesting special cases of our main results are also considered.

Keywords

References

  1. [1] D. Baleanu, D. Kumar and S.D. Purohit, Generalized fractional integrals of product of two H - functions and a general class of polynomials, International Journal of Computer Mathematics, 93, No. 8, (2016), 1320-1329.
  2. [2] D. Kumar, P. Agarwal and S.D. Purohit, Generalized fractional integration of the H -function involving general class of polynomials, Walailak Journal of Science and Technology, 11(12) (2014), 1019-1030.
  3. [3] D. Earl Rainville, Special Function, The Macmillan, New York, (1960).
  4. [4] E. George, C. Andrews Larry, Special function for Engineering and Applied Mathematics, Macmillan, New York, (1985).
  5. [5] S.L. Kalla and R.K. Saxena, Integral operators involving hypergeometric functions, Math. Z. 108(1969), 231-234.
  6. [6] J. Ram and Dinesh Kumar, Generalized fractional integration involving Appell Hypergeometric of the product of two H -functions, Vijanana Parishad Anusandhan Patrika, 54(2011), 33-43.
  7. [7] M. Saigo, A remark on integral operators involving the Guass hypergeometric function, Math. Rep. Kyushu Univ., 11(1977/78), no. 2, 135-143.
  8. [8] M. Saigo and N. Maeda, More generalization of fractional calculus, Transform methods & special functions, Varna '96, 386-400, Bulgarian Acad. Sci., So a, (1998).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

D. L. Suthar
Department of Mathematics, Wollo University, Dessie, P.O. Box: 1145, South Wollo, Amhara Region
Ethiopia

S. Agarwal This is me
Department of Mathematics,Poornima University, Ramchandrapura, Sitapura Extension, Jaipur, Rajasthan
India

Publication Date

April 1, 2017

Submission Date

February 19, 2017

Acceptance Date

February 20, 2017

Published in Issue

Year 2017 Volume: 5 Number: 1

APA
Suthar, D. L., & Agarwal, S. (2017). MERICHEV-SAIGO-MAEDA FRACTIONAL INTEGRATION OPERATOR ASSOCIATED WITH SRIVASTAVA’S POLYNOMIAL AND GAUSS HYPERGEOMETRIC FUNCTIONS. Konuralp Journal of Mathematics, 5(1), 145-160. https://izlik.org/JA28HT26ED
AMA
1.Suthar DL, Agarwal S. MERICHEV-SAIGO-MAEDA FRACTIONAL INTEGRATION OPERATOR ASSOCIATED WITH SRIVASTAVA’S POLYNOMIAL AND GAUSS HYPERGEOMETRIC FUNCTIONS. Konuralp J. Math. 2017;5(1):145-160. https://izlik.org/JA28HT26ED
Chicago
Suthar, D. L., and S. Agarwal. 2017. “MERICHEV-SAIGO-MAEDA FRACTIONAL INTEGRATION OPERATOR ASSOCIATED WITH SRIVASTAVA’S POLYNOMIAL AND GAUSS HYPERGEOMETRIC FUNCTIONS”. Konuralp Journal of Mathematics 5 (1): 145-60. https://izlik.org/JA28HT26ED.
EndNote
Suthar DL, Agarwal S (April 1, 2017) MERICHEV-SAIGO-MAEDA FRACTIONAL INTEGRATION OPERATOR ASSOCIATED WITH SRIVASTAVA’S POLYNOMIAL AND GAUSS HYPERGEOMETRIC FUNCTIONS. Konuralp Journal of Mathematics 5 1 145–160.
IEEE
[1]D. L. Suthar and S. Agarwal, “MERICHEV-SAIGO-MAEDA FRACTIONAL INTEGRATION OPERATOR ASSOCIATED WITH SRIVASTAVA’S POLYNOMIAL AND GAUSS HYPERGEOMETRIC FUNCTIONS”, Konuralp J. Math., vol. 5, no. 1, pp. 145–160, Apr. 2017, [Online]. Available: https://izlik.org/JA28HT26ED
ISNAD
Suthar, D. L. - Agarwal, S. “MERICHEV-SAIGO-MAEDA FRACTIONAL INTEGRATION OPERATOR ASSOCIATED WITH SRIVASTAVA’S POLYNOMIAL AND GAUSS HYPERGEOMETRIC FUNCTIONS”. Konuralp Journal of Mathematics 5/1 (April 1, 2017): 145-160. https://izlik.org/JA28HT26ED.
JAMA
1.Suthar DL, Agarwal S. MERICHEV-SAIGO-MAEDA FRACTIONAL INTEGRATION OPERATOR ASSOCIATED WITH SRIVASTAVA’S POLYNOMIAL AND GAUSS HYPERGEOMETRIC FUNCTIONS. Konuralp J. Math. 2017;5:145–160.
MLA
Suthar, D. L., and S. Agarwal. “MERICHEV-SAIGO-MAEDA FRACTIONAL INTEGRATION OPERATOR ASSOCIATED WITH SRIVASTAVA’S POLYNOMIAL AND GAUSS HYPERGEOMETRIC FUNCTIONS”. Konuralp Journal of Mathematics, vol. 5, no. 1, Apr. 2017, pp. 145-60, https://izlik.org/JA28HT26ED.
Vancouver
1.D. L. Suthar, S. Agarwal. MERICHEV-SAIGO-MAEDA FRACTIONAL INTEGRATION OPERATOR ASSOCIATED WITH SRIVASTAVA’S POLYNOMIAL AND GAUSS HYPERGEOMETRIC FUNCTIONS. Konuralp J. Math. [Internet]. 2017 Apr. 1;5(1):145-60. Available from: https://izlik.org/JA28HT26ED
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