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Some Properties for Multiple Twisted (p, q)-L-Function and Carlitz's Type Higher-Order Twisted (p, q)-Euler Polynomials.
- Source :
-
Mathematics (2227-7390) . Dec2019, Vol. 7 Issue 12, p1205. 1p. - Publication Year :
- 2019
-
Abstract
- The main goal of this paper is to study some interesting identities for the multiple twisted (p , q) -L-function in a complex field. First, we construct new generating functions of the new Carlitz-type higher order twisted (p , q) -Euler numbers and polynomials. By applying the Mellin transformation to these generating functions, we obtain integral representations of the multiple twisted (p , q) -Euler zeta function and multiple twisted (p , q) -L-function, which interpolate the Carlitz-type higher order twisted (p , q) -Euler numbers and Carlitz-type higher order twisted (p , q) -Euler polynomials at non-positive integers, respectively. Second, we get some explicit formulas and properties, which are related to Carlitz-type higher order twisted (p , q) -Euler numbers and polynomials. Third, we give some new symmetric identities for the multiple twisted (p , q) -L-function. Furthermore, we also obtain symmetric identities for Carlitz-type higher order twisted (p , q) -Euler numbers and polynomials by using the symmetric property for the multiple twisted (p , q) -L-function. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 7
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 140954505
- Full Text :
- https://doi.org/10.3390/math7121205