Treffer: Relationships Between Generalized Bernoulli Numbers and Polynomials and Generalized Euler Numbers and Polynomials: Relationships between generalized Bernoulli numbers and polynomials and generalized Euler numbers and polynomials.
Title:
Relationships Between Generalized Bernoulli Numbers and Polynomials and Generalized Euler Numbers and Polynomials: Relationships between generalized Bernoulli numbers and polynomials and generalized Euler numbers and polynomials.
Authors:
Publisher Information:
Jangjeon Research Institute for Mathematical Sciences \& Physics, Daegu; Jangjeon Mathematical Society, Kyungshang, 2002.
Publication Year:
2002
Subject Terms:
Euler polynomials, 0103 Numerical and Computational Mathematics, generalized Euler polynomial, Bernoulli polynomials, Bernoulli polynomial, generalized Euler number, Research Group in Mathematical Inequalities and Applications (RGMIA), generalized Bernoulli polinomial, Euler number, Euler polynomial, 0102 Applied Mathematics, relationship, Bernoulli number, Bernoulli and Euler numbers and polynomials, Euler numbers, generalized Bernoulli number, Bernoulli numbers
Document Type:
Fachzeitschrift
Article
File Description:
application/xml; text
Access URL:
Accession Number:
edsair.dedup.wf.002..68faee09c3cccb0cbe303354e187c31f
Database:
OpenAIRE
Weitere Informationen
Let \(a,b,c\) be positive numbers. The generalized Bernoulli and Euler numbers are defined via the generating functions \(\frac{t}{b^t-a^t}\) and \(\frac{2c^t}{b^{2t}+a^{2t}}\) respectively, so that the classical sequences are obtained if \(a=1\), \(b=c=e\). A generalization of the Bernoulli and Euler polynomials is introduced in a similar way. The authors prove several identities containing the above sequences.