A Note On The Generalized q-Genocchi measures with weight alpha



Document title: A Note On The Generalized q-Genocchi measures with weight alpha
Journal: Boletim da Sociedade Paranaense de Matematica
Database: PERIÓDICA
System number: 000365618
ISSN: 0037-8712
Authors: 1
2
2
3
Institutions: 1University of Tehran, School of Mathematics, Statistics and Computer Science, Teherán. Irán
2University of Gaziantep, Faculty of Science and Arts, Gaziantep. Turquía
3Pukyong National University, Department of Applied Mathematics, Busan. Corea del Sur
Year:
Volumen: 31
Number: 1
Pages: 17-27
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Experimental, analítico
English abstract In this paper we investigate special generalized q-Genocchi measures. We introduce q-Genocchi measures with weight !. The present paper deals with q-extension of Genocchi measure. Some earlier results of T. Kim in terms of q- Genocchi polynomials can be deduced. We apply the method of generating function, which are exploited to derive further classes of q-Genocchi polynomials and develop q-Genocchi measures. To be more precise, we present the integral representation of p-adic q-Genocchi measure with weight ! which yields a deeper insight into the effectiveness of this type of generalizations. Generalized q-Genocchi numbers with weight ! possess a number of interesting properties which we state in this paper
Disciplines: Matemáticas
Keyword: Matemáticas puras,
Números Genocchi,
Polinomiales
Keyword: Mathematics,
Pure mathematics,
Genocchi numbers,
Polynomials
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