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.
이용수
초록· 키워드
오류제보하기
Extensions of some classical special functions, for example, Beta function $B(x,y)$ and generalized hypergeometric functions $_{p}F_{q}$ have been actively investigated and found diverse applications. In recent years, several extensions for $B(x,y)$ and $_{p}F_{q}$ have been established by many authors in various ways. Here, we aim to generalize Appell's hypergeometric functions of two variables and Lauricella's hypergeometric function of three variables by using the extended generalized beta type function $B_{p}^{\left(\alpha ,\beta; m \right)} \left(x,y\right)$. Then some properties of the extended generalized Appell's hypergeometric functions and Lauricella's hypergeometric functions are investigated.
목차
등록된 정보가 없습니다.
참고문헌 (10)
참고문헌 신청
E. ¨Ozergin / 2011 / Extension of gamma, beta and hypergeometric functions / J. Comput. Appl. Math 235 (16) : 4601 ~ 4610
E. ¨Ozergin / 2011 / Some properties of hypergeometric functions / 박사 / EasternMediterranean University
H. Liu / / Some generating relations for extended Appell’s and Lauricella’s hypergeometric functions / Rocky Mountain J. Math
H. M. Srivastava / 1985 / Multiple Gaussian Hypergeometric Series / Ellis Horwood Limited
H. M. Srivastava / 2012 / Zeta and q-Zeta Functions and Associated Series and Integrals / Elsevier Science Publishers
E. ¨Ozergin / 2011 / Some properties of hypergeometric functions / 박사 / EasternMediterranean University
H. Liu / / Some generating relations for extended Appell’s and Lauricella’s hypergeometric functions / Rocky Mountain J. Math
H. M. Srivastava / 1985 / Multiple Gaussian Hypergeometric Series / Ellis Horwood Limited
H. M. Srivastava / 2012 / Zeta and q-Zeta Functions and Associated Series and Integrals / Elsevier Science Publishers
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Some integral representations and transforms for extended generalized Appell's and Lauricella's hypergeometric functions
대한수학회논문집
2017 .01
-
A NOTE ON GENERALIZED EXTENDED WHITTAKER FUNCTION
호남수학학술지
2016 .01
-
GENERALIZATION OF EXTENDED APPELL'S AND LAURICELLA'S HYPERGEOMETRIC FUNCTIONS
호남수학학술지
2015 .01
-
CERTAIN EXTENDED SPECIAL FUNCTIONS AND FRACTIONAL INTEGRAL AND DERIVATIVE OPERATORS VIA AN EXTENDED BETA FUNCTION
Nonlinear Functional Analysis and Applications
2019 .01
-
Certain Fractional Integral Operators and Extended General- ized Gauss Hypergeometric Functions
Kyungpook Mathematical Journal
2015 .01
-
Some integral transforms and fractional integral formulas for the extended hypergeometric functions
대한수학회논문집
2016 .01
-
Extensions of multiple Lauricella and Humbert's confluent hypergeometric functions through a highly generalized Pochhammer symbol and their related properties
대한수학회보
2023 .05
-
Certain extended hypergeometric matrix functions of two or three variables
Advanced Studies in Contemporary Mathematics
2023 .01
-
Some properties of extended $\tau$-hypergeometric function
대한수학회논문집
2018 .01
-
CERTAIN FRACTIONAL INTEGRAL AND BETA TRANSFORM FORMULAS FOR THE EXTENDED APPELL’S AND LAURICELLA’S HYPERGEOMETRIC FUNCTIONS
Nonlinear Functional Analysis and Applications
2018 .12
-
Generating functions for the extended Wright type hypergeometric function
대한수학회논문집
2017 .01
-
A NOTE ON SOME REPRESENTATIONS OF APPELL AND HORN FUNCTION
Advanced Studies in Contemporary Mathematics
2020 .01
-
Extended Lauricella and Appell functions and their associated properties
Advanced Studies in Contemporary Mathematics
2015 .01
-
CERTAIN RESULTS ON EXTENDED GENERALIZED τ-GAUSS HYPERGEOMETRIC FUNCTION
호남수학학술지
2016 .01
-
A POWER SERIES ASSOCIATED WITH THE GENERALIZED HYPERGEOMETRIC FUNCTIONS WITH THE UNIT ARGUMENT WHICH ARE INVOLVED IN BELL POLYNOMIALS
Nonlinear Functional Analysis and Applications
2022 .03
-
An extension of the Whittaker function
대한수학회논문집
2021 .10
-
Mathieu-type series built by (p, q)-extended Gaussian hypergeometric function
대한수학회보
2017 .01
-
Certain integration formulae for the generalized $k$-Bessel functions and Deleure hyper-Bessel function
대한수학회논문집
2019 .01
-
ON THE GENERALIZED MODIFIED k-BESSEL FUNCTIONS OF THE FIRST KIND
대한수학회논문집
2017 .01
-
On some formulas for the generalized Appell type functions
대한수학회논문집
2017 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0