Result: Modified approach to generalized Stirling numbers via differential operators
Title:
Modified approach to generalized Stirling numbers via differential operators
Authors:
Source:
Applied mathematics letters. 23(1):115-120
Publisher Information:
Kidlington: Elsevier, 2010.
Publication Year:
2010
Physical Description:
print, 22 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Mathematics, Mathématiques, Mechanics acoustics, Mécanique et acoustique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Combinatoire. Structures ordonnées, Combinatorics. Ordered structures, Combinatoire, Combinatorics, Problèmes combinatoires classiques, Classical combinatorial problems, Analyse mathématique, Mathematical analysis, Equations différentielles, Ordinary differential equations, Théorie des opérateurs, Operator theory, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Identité combinatoire, Combinatorial identity, Identidad combinatoria, Mathématiques appliquées, Applied mathematics, Matemáticas aplicadas, Opérateur différentiel, Differential operator, Operador diferencial, Relation ordre, Ordering, Relación orden, 05A19, 34Lxx, 47E05, Boson operators, Combinatorial identities, Generalized Stirling numbers, Normal ordering, Stirling numbers
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
Department of Mathematics, Faculty of Science, Port Said, Suez Canal University, Egypt
Department of Mathematics, Faculty of Electrical Engineering, University of Belgrade, 11120 Belgrade, Serbia
Department of Mathematics, University of Haifa, 31905 Haifa, Israel
Department of Mathematics, Faculty of Electrical Engineering, University of Belgrade, 11120 Belgrade, Serbia
Department of Mathematics, University of Haifa, 31905 Haifa, Israel
ISSN:
0893-9659
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.22153482
Database:
PASCAL Archive
Further Information
In this paper we give a modified approach to the generalized Stirling numbers of the second kind Sr,s(n, k) and Sr,s(k). These numbers were firstly defined by Carlitz and recently studied extensively by Blasiak, Penson and Solomon. This approach depends on the previous results obtained by Carlitz, Toscano and Cakić. We show that Blasiak's results can be investigated from Carlitz and Cakić's results. Some interesting combinatorial identities are obtained.