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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2020.1
- 수록면
- 781 - 795 (15page)
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초록· 키워드
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In this paper, we obtain an analytical solution for an unsolved definite integral RC (m, n) from a 1915 paper of Srinivasa Ramanujan. We obtain our solution using the hypergeometric approach and an infinite series decomposition identity. Also, we give some generalizations of Ramanujan’s integral RC (m, n) defined in terms of the ordinary hypergeometric function 2F3 with suitable convergence conditions. Moreover as applications of our result we obtain nine new infinite summation formulas associated with the hypergeometric functions 0F1, 1F2 and 2F3.
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참고문헌 (12)
참고문헌 신청
A. Erd´elyi / 1953 / Higher transcendental functions, Vol. I / McGraw-Hill
A. Erd´elyi / 1954 / Tables of integral transforms, Vol. I / McGraw-Hill
F. Oberhettinger / 1974 / Tables of Mellin transforms / Springer-Verlag
F. Oberhettinger / 1990 / Tables of Fourier transforms and Fourier transforms of distributions / Springer Verlag
M. I. Qureshi / 2018 / Evaluation of some definite integrals of Ramanujan, using hypergeometric approach / Palest. J. Math 7(2):620~623
A. Erd´elyi / 1954 / Tables of integral transforms, Vol. I / McGraw-Hill
F. Oberhettinger / 1974 / Tables of Mellin transforms / Springer-Verlag
F. Oberhettinger / 1990 / Tables of Fourier transforms and Fourier transforms of distributions / Springer Verlag
M. I. Qureshi / 2018 / Evaluation of some definite integrals of Ramanujan, using hypergeometric approach / Palest. J. Math 7(2):620~623
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