• Honam Mathematical Journal
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• v.46 no.2
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• pp.168-180
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• 2024

The main object of this article is to propose a unified extension of Bernoulli, Euler and Genocchi polynomials by means of a new family of mixed polynomials whose generating function is given in terms of generalized Bessel function. We also discuss here some fundamental properties of our introduced mixed polynomials by making use of the series arrangement technique. Furthermore, some conclusions of our present study are also pointed out in the last section.

• Bulletin of the Korean Mathematical Society
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• v.34 no.3
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• pp.469-481
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• 1997

In this paper we define the generalized regular relations with respect to homorphisms and find some properties of those in transformation groups. And we also investigate the equivalent conditions for the generalized regular relations to be transitive.

• Kyungpook Mathematical Journal
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• v.45 no.2
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• pp.249-254
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• 2005

Let N be a prime left near-ring with multiplicative center Z and f be a generalized $({\sigma},{\tau})-derivation$ associated with d. We prove commutativity theorems in prime near- rings with generalized $({\sigma},{\tau})-derivation$.

• Journal of the Chungcheong Mathematical Society
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• v.26 no.4
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• pp.735-742
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• 2013

In this note, we prove the translation theorem for the generalized analogue of Wiener measure space and we show some properties of the generalized analogue of Wiener measure from it.

• Journal of the Chungcheong Mathematical Society
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• v.4 no.1
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• pp.49-54
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• 1991

In the paper of Johnson[4], the results about continuity of homomorphisms were applied to those of generalized homomorphisms. This paper presents the results helpful to prove the continuity of generalized homomorphisms on Banach algebra and the continuity of generalized homomorphisms on it.

• Korean Journal of Mathematics
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• v.22 no.1
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• pp.139-150
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• 2014

We introduce the concept of generalized (${\theta}$, ${\phi}$)-derivations on Banach algebras, and prove the Cauchy-Rassias stability of generalized (${\theta}$, ${\phi}$)-derivations on Banach algebras.

• Honam Mathematical Journal
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• v.38 no.3
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• pp.455-465
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• 2016

The number of topologies on a finite set is a famous open problem. In the present paper we discuss a method of obtaining the number of generalized topologies on finite sets.

• Journal of the Chungcheong Mathematical Society
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• v.25 no.3
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• pp.415-424
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• 2012

As a generalization of countably approximating posets, we introduce the concept of generalized countably approximating posets. Some properties of generalized countably approximating posets are presented.

• Journal of applied mathematics & informatics
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• v.34 no.1_2
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• pp.107-114
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• 2016

In this paper we give some symmetric property of the generalized twisted q-Euler zeta functions and q-Euler polynomials.

• Bulletin of the Korean Mathematical Society
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• v.49 no.2
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• pp.417-422
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• 2012

In this paper, we prove an analog of the generalized Schwarz lemma for meromorphic functions. Our results improve the classical generalized Schwarz lemma.