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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 경남대학교 기초과학연구소 Nonlinear Functional Analysis and Applications Nonlinear Functional Analysis and Applications Vol.24 No.1
- 발행연도
- 2019.1
- 수록면
- 1 - 13 (13page)
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초록· 키워드
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Various extensions of the Euler’s beta function have, recently, been presented and investigated. Here, choosing to use a fully extended beta function, we introduce an extended hypergeometric function, an extended confluent hypergeometric function, and an extension of the Appell function F1. We, also, use the fully extended beta function to introduce an extended Riemann-Liouville type integral operator and investigate its associated formulas and generating relations. The results presented here, being very general, can be specialized to yield some known and new results.
#Gamma function
#beta function
#extended beta functions
#hypergeometric function and extended hypergeometric function
#confluent hypergeometric function and ex- tended confluent hypergeometric function
#Appell function and extended Appell function
#Mellin transform
#Riemann-Liouville fractional integral and derivative operators
#extended Riemann-Liouville fractional integral and derivative operators
#generating relations.
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참고문헌 (13)
참고문헌 신청
D. Baleanu / 2017 / Extension of the fractional derivative operator of the Riemann-Liouville / J. Nonlinear Sci. Appl 10:2914~2924
M. A. Chaudhry / 1997 / Extension of Euler’s beta function / J. Comput. Appl. Math 78:19~32
M. A. Chaudhry / 2004 / Extended Hypergeometric and Confluent Hypergeometric functions / Appl. Math. Comput 159:589~602
최준상 / 2014 / EXTENSION OF EXTENDED BETA, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS / 호남수학학술지 36(2):357~385
I. O. Kiymaz / 2016 / An extension of Caputo fractional derivative operator and its application / J. Nonlinear Sci. Appl 9:3611~3621
M. A. Chaudhry / 1997 / Extension of Euler’s beta function / J. Comput. Appl. Math 78:19~32
M. A. Chaudhry / 2004 / Extended Hypergeometric and Confluent Hypergeometric functions / Appl. Math. Comput 159:589~602
최준상 / 2014 / EXTENSION OF EXTENDED BETA, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS / 호남수학학술지 36(2):357~385
I. O. Kiymaz / 2016 / An extension of Caputo fractional derivative operator and its application / J. Nonlinear Sci. Appl 9:3611~3621
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