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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Proceedings of the Jangjeon Mathematical Society Proceedings of the Jangjeon Mathematical Society Vol.20 No.3
- 발행연도
- 2017.1
- 수록면
- 391 - 396 (6page)
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In this paper, we solve a general Volterra-type fractional equation associated with an integral operator involving a product of general class of polynomials and the multivariable H-function in its Kernel. We make use of convolution technique to solve the main equation.On account of the general nature of multivariable H-function and general class of polynomials, We can obtain a large number of integral equations involving products of several useful polynomials and special functions as its special cases. For the lack of space, we record here only two such special cases which involve the product of general class of polynomials SM N & Appell's function F3 and a general class of polynomials. The main result derived in this paper also generalizes the results obtained by Gupta et. al.[2] and Jain[3, p. 102-103, eq. (3.5),eq.(3.6)]
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참고문헌 (8)
참고문헌 신청
Erd elyi, A. / 1954 / Tbles of integral transforms, I / MacGraw-Hill
Gupta, K. C. / 1995 / Convolution integral equations involving a general class of polynomials and the multivariable H-function / Proc. Indian Acad. Sci. (Math. Sci.) 105:187~192
Jain R. / 1990 / Double convolution integral equations involving the general polynomials / Ganita Sandesh 4:99~103
Srivastava, H. M. / 1972 / A contour integral involving Fox's H-function / Indian J. Math. 14:1~6
Srivastava, H.M. / 1982 / The H-functions of One and Two Variables with Applications / South Asian Publishers
Gupta, K. C. / 1995 / Convolution integral equations involving a general class of polynomials and the multivariable H-function / Proc. Indian Acad. Sci. (Math. Sci.) 105:187~192
Jain R. / 1990 / Double convolution integral equations involving the general polynomials / Ganita Sandesh 4:99~103
Srivastava, H. M. / 1972 / A contour integral involving Fox's H-function / Indian J. Math. 14:1~6
Srivastava, H.M. / 1982 / The H-functions of One and Two Variables with Applications / South Asian Publishers
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