A Note on Modified Degenerate Gamma and Laplace Transformation

Kim, Yun-Jae; Kim, Byung Moon; Jang, Lee-Chae; Kwon, Jongkyum

doi:10.20944/preprints201809.0155.v1

Cited by 6 publications

(10 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the case r = 1, the r-falling factorial reduces to the familiar falling factorial (see [5,6,[8][9][10][11][12][13][14][15])…”

Section: Preliminaries and Definitionsmentioning

confidence: 99%

“…Several properties and interesting formulas for the degenerate gamma function and degenerate Laplace transform are derived in [11]. Then, Kim et al [12]…”

Section: Preliminaries and Definitionsmentioning

confidence: 99%

“…From Laplace time to now, several integral transforms such as Fourier, Sumudu, Elzaki, and M -transforms have been de…ned, and some of their properties and applications have been studied in detail, cf. [1][2][3][4]7,[11][12][13][16][17][18][19][20][21] and see also each of the references cited therein.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Degenerate Sumudu Transform and Its Properties

Duran¹

2020

Preprint

View full text Add to dashboard Cite

Kim-Kim (Russ. J. Math. Phys. 2017, 24, 241-248) defined the degenerate Laplace transform and investigated some of their certain properties. Motivated by this study, in this paper, we introduce the degenerate Sumudu transform and establish some properties and relations. We derive degenerate Sumudu transforms of power functions, degenerate sine, degenerate cosine, degenerate hyperbolic sine, degenerate hyperbolic cosine, degenerate exponential function, and function derivatives. We also acquire a relationship between degenerate Sumudu transform and degenerate gamma function. Moreover, we investigate a scale preserving theorem for the degenerate Sumudu transform. Furthermore, we show that the degenerate Sumudu transform is the theoretical dual transform to the degenerate Laplace transform.

show abstract

“…In the case r = 1, the r-falling factorial reduces to the familiar falling factorial (see [5,6,[8][9][10][11][12][13][14][15])…”

Section: Preliminaries and Definitionsmentioning

confidence: 99%

“…Several properties and interesting formulas for the degenerate gamma function and degenerate Laplace transform are derived in [11]. Then, Kim et al [12]…”

Section: Preliminaries and Definitionsmentioning

confidence: 99%

See 1 more Smart Citation

Degenerate Sumudu Transform and Its Properties

Duran¹

2020

Preprint

View full text Add to dashboard Cite

show abstract

“…From Laplace time to now, several integral transforms such as Fourier, Sumudu, Elzaki, and M-transforms have been defined, and some of their properties and applications have been studied in detail, cf. [1][2][3][4]7,[11][12][13][16][17][18][19][20][21] and see also each of the references cited therein.…”

Section: Introductionmentioning

confidence: 99%

“…The gamma function is defined by the following improper integral (cf. [1][2][3][4]7,[11][12][13][16][17][18][19][20][21]):…”

Section: Introductionmentioning

confidence: 99%

Degenerate Sumudu transform and its properties

Duran

2021

Filomat

View full text Add to dashboard Cite

show abstract

Degenerate exponential integral function and its properties

Nantomah¹

2022

AJMS

View full text Add to dashboard Cite

PurposeIn this paper, the author introduces a degenerate exponential integral function and further studies some of its analytical properties. The new function is a generalization of the classical exponential integral function and the properties established are analogous to those satisfied by the classical function.Design/methodology/approachThe methods adopted in establishing the results are theoretical in nature.FindingsA degenerate exponential integral function which is a generalization of the classical exponential integral function has been introduced and its properties investigated. Upon taking some limits, the established results reduce to results involving the classical exponential integral function.Originality/valueThe results obtained in this paper are new and have the potential of inspiring further research on the subject.

show abstract

A Note on Modified Degenerate Gamma and Laplace Transformation

Abstract: Kim-Kim ([9]) studied some properties of the degenerate gamma and degenerate Laplace transformation and obtained their properties. In this paper, we define modified degenerate gamma and modified degenerate Laplace Transformation and investigate some properties and formulas related to them.

Cited by 6 publications

References 13 publications

Degenerate Sumudu Transform and Its Properties

Degenerate Sumudu Transform and Its Properties

Degenerate Sumudu transform and its properties

Degenerate exponential integral function and its properties

Contact Info

Product

Resources

About