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.
Gamma function Beta function Beta distribution Pochhammer symbol Mellin transform
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Natural Sciences |
Yazarlar | |
Yayımlanma Tarihi | 24 Eylül 2021 |
Gönderilme Tarihi | 14 Aralık 2020 |
Kabul Tarihi | 27 Mayıs 2021 |
Yayımlandığı Sayı | Yıl 2021 |