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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2018.1
- 수록면
- 1,159 - 1,170 (12page)
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Recently, Parmar \cite{Parmar2015} introduced a new extension of the $\tau$-Gauss hypergeometric function ${}_2R_1^\tau (z)$. The main object of this paper is to study this extended $\tau$-Gauss hypergeometric function and obtain its properties including connection with modified Bessel function of third kind and extended generalized hypergeometric function, several contiguous relations, differential relations, integral transforms and elementary integrals. Various special cases of our results are also discussed.
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참고문헌 (13)
참고문헌 신청
G. E. Andrews / 1999 / Special Functions / Cambridge University Press
M. A. Chaudhry / 1994 / Generalized incomplete gamma functions with appli-cations / J. Comput. Appl. Math 55(1):99~124
M. A. Chaudhry / 2002 / On a Class of Incomplete Gamma Functions with Applications / Chapman &Hall/CRC
A. Erdelyi / 1953 / Higher Transcendental Functions, Vol. 2 / McGraw-Hill
R. K. Parmar / 2015 / Extended -hypergeometric functions and associated properties / C. R. Math. Acad. Sci. Paris 353(5):421~426
M. A. Chaudhry / 1994 / Generalized incomplete gamma functions with appli-cations / J. Comput. Appl. Math 55(1):99~124
M. A. Chaudhry / 2002 / On a Class of Incomplete Gamma Functions with Applications / Chapman &Hall/CRC
A. Erdelyi / 1953 / Higher Transcendental Functions, Vol. 2 / McGraw-Hill
R. K. Parmar / 2015 / Extended -hypergeometric functions and associated properties / C. R. Math. Acad. Sci. Paris 353(5):421~426
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