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New extension of beta, Gauss and confluent hypergeometric functions
2021
Journal:  
Cumhuriyet Science Journal
Author:  
DOI:  
10.17776/csj.840774
Abstract:

There are many extensions and generalizations of Gamma and Beta functions in the literature. However, a new extension of the extended Beta function B_(ζ〖, α〗_1)^(α_2;〖 m〗_1,〖 m〗_2 ) (a_1,a_2 ) was introduced and presented here because of its important properties. The new extended Beta function has symmetric property, integral representations, Mellin transform, inverse Mellin transform and statistical properties like Beta distribution, mean, variance, moment and cumulative distribution which ware also presented. Finally, the new extended Gauss and Confluent Hypergeometric functions with their propertied were introduced and presented.   

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2021
Journal:  
Cumhuriyet Science Journal
Author:  
DOI:  
10.17776/csj.840774
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Cumhuriyet Science Journal

Field :   Fen Bilimleri ve Matematik; Mühendislik

Journal Type :   Uluslararası

Metrics
Article : 1.227
Cite : 636
2023 Impact : 0.077
Details
Cumhuriyet Science Journal