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Multiparameter Higher Order Daehee and Bernoulli Numbers and Polynomials
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt
- 1 Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt
- 2 Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt
- 3 Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt
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Abstract
This paper gives a new generalization of higher order Daehee and Bernoulli numbers and polynomials. We define the multiparameter higher order Daehee numbers and polynomials of the first and second kind. Moreover, we derive some new results for these numbers and polynomials. The relations between these numbers and Stirling and Bernoulli numbers are obtained. Furthermore, some interesting special cases of the generalized higher order Daehee and Bernoulli numbers and polynomials are deduced.
KeywordsDaehee NumbersDaehee PolynomialsHigher-Order Daehee NumbersHigher-Order Daehee PolynomialsHigher-Order Bernoulli PolynomialsMultiparities Daehee Polynomials
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