Some Identities on the -Genocchi Polynomials of Higher-Order and -Stirling Numbers by the Fermionic -Adic Integral on
Author(s) -
Seog-Hoon Rim,
Jeong-Hee Jin,
Eun-Jung Moon,
Sunjung Lee
Publication year - 2010
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2010/860280
Subject(s) - mathematics , stirling number , stirling numbers of the second kind , order (exchange) , stirling numbers of the first kind , bell polynomials , pure mathematics , orthogonal polynomials , type (biology) , difference polynomials , algebra over a field , ecology , finance , economics , biology
A systemic study of some families of -Genocchi numbers and families of polynomials of Nörlund type is presented by using the multivariate fermionic -adic integral on ℤ. The study of these higher-order -Genocchi numbers and polynomials yields an interesting -analog of identities for Stirling numbers
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