<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, we introduce a new generalization of the Pochhammer symbol by means of the generalization of extended gamma function <xref ref-type="disp-formula" rid="j_amns.2020.1.00023_eq_004_w2aab3b7e1462b1b6b1ab1ab3c51Aa">(4)</xref>. Using the generalization of Pochhammer symbol, we give a generalization of the extended hypergeo-metric functions one or several variables. Also, we obtain various integral representations, derivative formulas and certain properties of these functions.</p></abstract>

In this paper, we introduce a new generalization of the Pochhammer symbol by means of the generalization of extended gamma function (4). Using the generalization of Pochhammer symbol, we give a generalization of the extended hypergeo-metric functions one or several variables. Also, we obtain various integral representations, derivative formulas and certain properties of these functions.

A New Generalization of Pochhammer Symbol and Its Applications

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"A New Generalization of Pochhammer Symbol and Its Applications"}

In this paper, we introduce a new generalization of the Pochhammer symbol by means of the generalization of extended gamma function (4). Using the...

A New Generalization of Pochhammer Symbol and Its Applications

Publié en ligne: 31 mars 2020

Pages: 255 - 266

Reçu: 14 juin 2019

Accepté: 10 juil. 2019

DOI: https://doi.org/10.2478/amns.2020.1.00023

Mots clés
gamma function, beta function, Pochhammer symbol, Gauss hypergeometric function, confluent hypergeometric function, Appell hypergeometric functions, Humbert hypergeometric functions of two variables, integral representations, derivative formulas, recurrence relation

© 2020 Recep Şahin et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

A New Generalization of Pochhammer Symbol and Its Applications

Publié en ligne: 31 mars 2020

Pages: 255 - 266

Reçu: 14 juin 2019

Accepté: 10 juil. 2019

DOI: https://doi.org/10.2478/amns.2020.1.00023

Mots clésgamma function, beta function, Pochhammer symbol, Gauss hypergeometric function, confluent hypergeometric function, Appell hypergeometric functions, Humbert hypergeometric functions of two variables, integral representations, derivative formulas, recurrence relation

© 2020 Recep Şahin et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Mots clés
gamma function, beta function, Pochhammer symbol, Gauss hypergeometric function, confluent hypergeometric function, Appell hypergeometric functions, Humbert hypergeometric functions of two variables, integral representations, derivative formulas, recurrence relation