Some Incomplete Hypergeometric Functions and Incomplete Riemann-Liouville Fractional Integral Operators

被引：19
|
作者：
Ozarslan, Mehmet Ali [1 ]
Ustaoglu, Ceren [2 ]
机构：
[1] Eastern Mediterranean Univ, Fac Arts & Sci, Dept Math, Mersin 10, Famagusta, Trnc, Turkey
[2] Final Int Univ, Dept Comp Engn, Toroslar Caddesi 6,Mersin 10, Girne, Trnc, Turkey
来源：
MATHEMATICS | 2019年 / 7卷 / 05期
关键词：
Gauss hypergeometric function; confluent hypergeometric function; Appell's functions; incomplete fractional calculus; Riemann-Liouville fractional integral; generating functions; GENERATING RELATIONS; POCHHAMMER SYMBOLS; FAMILY; EXTENSION; CALCULUS; BETA;
D O I：
10.3390/math7050483
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Very recently, the incomplete Pochhammer ratios were defined in terms of the incomplete beta function By(x,z). With the help of these incomplete Pochhammer ratios, we introduce new incomplete Gauss, confluent hypergeometric, and Appell's functions and investigate several properties of them such as integral representations, derivative formulas, transformation formulas, and recurrence relations. Furthermore, incomplete Riemann-Liouville fractional integral operators are introduced. This definition helps us to obtain linear and bilinear generating relations for the new incomplete Gauss hypergeometric functions.
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页数：18
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