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 1972, Andrews derived the basic analogue of Gauss's second summation theorem and Bailey's theorem by implementing basic analogue of Kummer's theorem into identity due to Jackson. Recently Lavoie et.al. derived many results closely related to Kummer's theorem, Gauss's second summation theorem and Bailey's theorem and also Rakha et. al. derive the basic analogues of results closely related Kummer's theorem. The aim of this paper is to derive basic analogues of results closely related Gauss's second summation theorem and Bailey's theorem. Some applications and limiting cases are also considered.
목차
등록된 정보가 없습니다.
참고문헌 (7)
참고문헌 신청
G. E. Andrews / 1973 / On the q-anlog of Kummer's theorem and applications / Duke Math. J 40:525~528
W.N. Bailey / 1941 / A note on certain q-identities / Quart. J. Math 12:173~175
J.A. Dhaum / 1942 / The basic analog of Kummer's theorem / Bull. Amer. Math. Soc 48:711~713
F. H. Jackson / 1910 / Transformations of q-series / Mess. Muth 39:145~153
G. Gasper / 1990 / Basic Hypergeometric Series, Encyclopedia of Math-ematics and Its Applications / Cambridge University Press :35
W.N. Bailey / 1941 / A note on certain q-identities / Quart. J. Math 12:173~175
J.A. Dhaum / 1942 / The basic analog of Kummer's theorem / Bull. Amer. Math. Soc 48:711~713
F. H. Jackson / 1910 / Transformations of q-series / Mess. Muth 39:145~153
G. Gasper / 1990 / Basic Hypergeometric Series, Encyclopedia of Math-ematics and Its Applications / Cambridge University Press :35
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
NEW LAPLACE TRANSFORMS FOR THE GENERALIZED HYPERGEOMETRIC FUNCTION <sub>2</sub>F<sub>2</sub>
호남수학학술지
2015 .01
-
$\pi$ and other formulae implied by hypergeometric summation theorems
대한수학회논문집
2015 .01
-
On an interesting extension of Kummer's second theorem with applications
대한수학회논문집
2021 .01
-
Fixed point theorems in fuzzy metric spaces for mappings with some contractive type conditions
한국수학논문집
2018 .01
-
Weyl Type Theorems for Unbounded Hyponormal Operators
Kyungpook Mathematical Journal
2015 .01
-
EVALUATION OF SOME NEW LAPLACE TRANSFORMS FOR THE GENERALIZED HYPERGEOMETRIC FUNCTION <sub>p</sub>F<sub>p</sub>
호남수학학술지
2017 .01
-
A REMARK ON L2 EXTENSION THEOREMS
대한수학회보
2021 .09
-
ON APPLICATIONS OF MULTIDIMENSIONAL FIXED POINT THEOREMS
Nonlinear Functional Analysis and Applications
2018 .09
-
FIXED POINT THEOREMS FOR DIGITAL IMAGES
호남수학학술지
2015 .01
-
Pascal's hexagon theorem reproved by elementary tools only
대한수학회논문집
2022 .10
-
ON A NEW CLASS OF SERIES IDENTITIES
호남수학학술지
2015 .01
-
An evaluation formula for a generalized conditional expectation with translation theorems over paths
대한수학회지
2020 .01
-
A NOTE ON NEVANLINNA’S FIVE VALUE THEOREM
대한수학회보
2015 .01
-
$L^p$ solutions for general time interval multidimensional BSDEs with weak monotonicity and general growth generators
대한수학회논문집
2018 .01
-
Second main theorem with weighted counting functions and uniqueness theorem
대한수학회보
2022 .09
-
Some summation and Laplace transformation formulas for the Gauss hypergeometric series
Advanced Studies in Contemporary Mathematics
2016 .01
-
A common fixed point theorem for a new class of contractions on b-metric spaces
Proceedings of the Jangjeon Mathematical Society
2023 .01
-
A Different Perspective on the P-value Problem with Big Data
Quantitative Bio-Science
2020 .05
-
BOUNDED CONVERGENCE THEOREMS
대한수학회지
2017 .01
-
Generalized Varignon's and medial triangle theorems
대한수학회논문집
2023 .04
이 논문의 저자 정보
최근 본 자료
댓글(0)
0