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
Using the extended generalized integral transform given by Luo \textit{et al.} \cite{Luo:2014}, we introduce some new generalized integral transforms to investigate such their (potentially) useful properties as inversion formulas and Parseval-Goldstein type relations. Classical integral transforms including (for example) Laplace, Stieltjes, and Widder-Potential transforms are seen to follow as special cases of the newly-introduced integral transforms.
목차
등록된 정보가 없습니다.
참고문헌 (16)
참고문헌 신청
R. Agarwal / 2015 / Solution of fractional volterra integral equation and non-homogeneous time fractional heat equation using integral transform of pathway type / Progr. Fract. Differ. Appl 1(3):145~155
A. Erdelyi / 1954 / Tables of Integral Trans-forms. Vol. I / McGraw-Hill Book Company
S. Goldstein / 1932 / Operational representations of Whittaker’s confluent hypergeometric func-tion and Weber’s parabolic cylinder function / Proc. London Math. Soc 34(1):103~125
K. B. Kachhia / 2015 / Solution of fractional partial differential equation aries in study of heat transfer through diathermanous materials / J. Interdisciplinary Math 18(1-2):125~132
A. A. Kilbas / 2004 / H-Transforms / Chapman and Hall/CRC
A. Erdelyi / 1954 / Tables of Integral Trans-forms. Vol. I / McGraw-Hill Book Company
S. Goldstein / 1932 / Operational representations of Whittaker’s confluent hypergeometric func-tion and Weber’s parabolic cylinder function / Proc. London Math. Soc 34(1):103~125
K. B. Kachhia / 2015 / Solution of fractional partial differential equation aries in study of heat transfer through diathermanous materials / J. Interdisciplinary Math 18(1-2):125~132
A. A. Kilbas / 2004 / H-Transforms / Chapman and Hall/CRC
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Some expressions for the inverse integral transform via the translation theorem on function space
대한수학회지
2016 .01
-
A generalized integral transform with the kernel on function space with related topics
대한수학회보
2024 .09
-
General Definitions of Integral Transforms for Mathematical Physics
새물리
2020 .09
-
Some integral transforms and fractional integral formulas for the extended hypergeometric functions
대한수학회논문집
2016 .01
-
Certain Fractional Integrals and Image Formulas Of Generalized $\mathtt{k}$-Bessel Function
대한수학회논문집
2018 .01
-
Basic formulas for the double integral transform of functionals on abstract Wiener space
대한수학회보
2022 .09
-
(p, q)-LAPLACE TRANSFORM
Journal of applied mathematics & informatics
2018 .01
-
A New Class of Double Integrals
순수 및 응용수학
2021 .01
-
GENERALIZED FRACTIONAL INTEGRATION OF k-BESSEL FUNCTION
Advanced Studies in Contemporary Mathematics
2018 .01
-
Some properties of extended $\tau$-hypergeometric function
대한수학회논문집
2018 .01
-
A NOTE ON A CLASS OF CONVOLUTION INTEGRAL EQUATIONS
호남수학학술지
2015 .01
-
COMBINED LAPLACE TRANSFORM WITH ANALYTICAL METHODS FOR SOLVING VOLTERRA INTEGRAL EQUATIONS WITH A CONVOLUTION KERNEL
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2018 .06
-
Change of scale formulas for function space integrals related with Fourier-Feynman transform and convolution on $C_{a,b}[0,T]$
한국수학논문집
2015 .01
-
ONE-DIMENSIONAL QUATERNION MELLIN TRANSFORM AND ITS APPLICATIONS
Proceedings of the Jangjeon Mathematical Society
2021 .01
-
Unified integral operator inequalities via convex composition of two functions
한국수학논문집
2021 .01
-
On Certain Integral Transforms Involving Hypergeometric Functions and Struve Function
Kyungpook Mathematical Journal
2016 .01
-
Conditional integral transforms and convolutions for a general vector-valued conditioning functions
한국수학논문집
2016 .01
-
A CLASS OF DEFINITE INTEGRALS
호남수학학술지
2017 .01
-
Certain Fractional Integral Operators and Extended General- ized Gauss Hypergeometric Functions
Kyungpook Mathematical Journal
2015 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0