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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2015.1
- 수록면
- 695 - 703 (9page)
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초록· 키워드
오류제보하기
Several interesting and useful extensions of some familiar special functions such as Beta and Gauss hypergeometric functions and their properties have, recently, been investigated by many authors. Motivated mainly by those earlier works, we establish some fractional integral formulas involving the extended generalized Gauss hypergeometric function by using certain general pair of fractional integral operators involving Gauss hypergeometric function 2F1, Some interesting special cases of our main results are also considered.
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참고문헌 (26)
참고문헌 신청
A. A. Kilbas / 2005 / Fractional calculus of the generalized Wright function / Fract. Calc. Appl. Anal 8 (2) : 113 ~ 126
A. A. Kilbas. / 2006 / Theory and Applications of Fractional Differential Equations, North-Holland Mathematical Studies, 204 / Elsevier (North- Holland) Science Publishers
E. D. Rainville, Special Functions, Macmillan Company, New York, 1960; Reprinted by Chelsea Publishing Company / 1971 / Bronx / New York
E. Ozergin / 2011 / Some properties of hypergeometric functions / Eastern Mediterranean University
E. Ozergin. / 2011 / Extension of gamma, beta and hypergeometric functions / J. Comput. Appl. Math 235 : 4601 ~ 4610
A. A. Kilbas. / 2006 / Theory and Applications of Fractional Differential Equations, North-Holland Mathematical Studies, 204 / Elsevier (North- Holland) Science Publishers
E. D. Rainville, Special Functions, Macmillan Company, New York, 1960; Reprinted by Chelsea Publishing Company / 1971 / Bronx / New York
E. Ozergin / 2011 / Some properties of hypergeometric functions / Eastern Mediterranean University
E. Ozergin. / 2011 / Extension of gamma, beta and hypergeometric functions / J. Comput. Appl. Math 235 : 4601 ~ 4610
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