지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
In 1997, Exton, by mainly employing a widely-used process of resolving hypergeometric series into odd and even parts, obtained some new and interesting summation formulas with arguments 1 and −1. We aim at showing how easily many summation formulas can be obtained by simply combining some known summation formulas. Indeed, we present 22 results in the form of two generalized summation formulas for the generalized hypergeometric series 4F3, including two Exton’s summation formulas for 4F3 as special cases.
목차
등록된 정보가 없습니다.
참고문헌 (9)
참고문헌 신청
E. D. Rainville / 1960 / Special Functions / The Macmillan Company
H. Exton / 1976 / Multiple Hypergeometric Functions and Applications / Ellis Horwood
H. Exton / 1997 / Some new summation formulae for the generalised hypergeometric function of higher order / J. Comput. Appl. Math. 79 (2) : 183 ~ 187
H. M. Srivastava / 2001 / Series Associated with the Zeta and Related Functions / Kluwer Academic Publishers
J. Choi / 1999 / Certain classes of infinite series / Monatsh. Math. 127 (1) : 15 ~ 25
H. Exton / 1976 / Multiple Hypergeometric Functions and Applications / Ellis Horwood
H. Exton / 1997 / Some new summation formulae for the generalised hypergeometric function of higher order / J. Comput. Appl. Math. 79 (2) : 183 ~ 187
H. M. Srivastava / 2001 / Series Associated with the Zeta and Related Functions / Kluwer Academic Publishers
J. Choi / 1999 / Certain classes of infinite series / Monatsh. Math. 127 (1) : 15 ~ 25
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
NEW SUMMATION FORMULAE FOR THE GENERALIZED HYPERGEOMETRIC FUNCTIONS OF HIGH ORDER
호남수학학술지
2012 .01
-
Decomposition formulae for generalized hypergeometric functions with the Gauss-Kummer identity
대한수학회논문집
2014 .01
-
CERTAIN DECOMPOSITION FORMULAS OF GENERALIZED HYPERGEOMETRIC FUNCTIONS pFq AND SOME FORMULAS OF AN ANALYTIC CONTINUATION OF THE CLAUSEN FUNCTION ₃F₂
대한수학회논문집
2012 .01
-
Recursion Formulas for $q$-hypergeometric and $q$-Appell series
대한수학회논문집
2018 .01
-
On Eulerian $q$-integrals for single and multiple $q$-hypergeometric series
대한수학회논문집
2018 .01
-
Two general hypergeometric transformation formulas
대한수학회논문집
2014 .01
-
Remarks on a summation formula for three-variables hypergeometric function X8 and certain hypergeometric transformations
East Asian Mathematical Journal
2009 .01
-
Certain summation formulas for Humbert's double hypergeometric series $\Psi_2$ and $\Phi_2$
대한수학회논문집
2015 .01
-
DECOMPOSITION FORMULAS FOR THE GENERALIZID HYPERGEOMETRIC F FUNCTION
호남수학학술지
2010 .01
-
Certain new integral formulas involving the generalized Bessel functions
대한수학회보
2014 .01
-
Recursion Formulas for Exton's triple Hypergeometric Functions
Kyungpook Mathematical Journal
2016 .01
-
On a hypergeometric summation theorem due to Qureshi Et Al.
대한수학회논문집
2013 .01
-
SUMMATION FORMULAS DERIVED FROM THE SRIVASTAVA’S TRIPLE HYPERGEOMETRIC SERIES HC
대한수학회논문집
2010 .01
-
Generalization of a Transformation Formula for the Exton's Triple Hypergeometric Series X12 and X17
Kyungpook Mathematical Journal
2014 .01
-
Some properties of generalized hypergeometric function
대한수학회논문집
2013 .01
-
Certain unified integral formulas involving the generalized modified k-Bessel function of first kind
대한수학회논문집
2017 .01
-
A reducibility of Srivastava's triple hypergeometric series F(3)[x, y, z]
대한수학회논문집
2013 .01
-
ANOTHER PROOF OF CLASSICAL DIXON'S SUMMATION THEOREM FOR THE SERIES <sub>3</sub>F<sub>2</sub>
호남수학학술지
2019 .01
-
Certain integration formulae for the generalized $k$-Bessel functions and Deleure hyper-Bessel function
대한수학회논문집
2019 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0