<abstract xmlns="http://www.w3.org/1999/xhtml"> Elliptic-type integral plays a major role in the study of different problems of physics and technology including fracture mechanics. Many papers have been written for various families of elliptic-type integrals. Due to their applications here, we are presenting an organized study of certain generalized family of incomplete elliptic integral. The obtained results are basic in nature have various generalizations. While using the fractional integral operator of Riemann-Liouville type, we found several obvious hyper geometric representations. Which are further used to originate many definite integrals relating to their modules and amplitude of elliptic type generalized incomplete integrals.</abstract>

Elliptic-type integral plays a major role in the study of different problems of physics and technology including fracture mechanics. Many papers have been written for various families of elliptic-type integrals. Due to their applications here, we are presenting an organized study of certain generalized family of incomplete elliptic integral. The obtained results are basic in nature have various generalizations. While using the fractional integral operator of Riemann-Liouville type, we found several obvious hyper geometric representations. Which are further used to originate many definite integrals relating to their modules and amplitude of elliptic type generalized incomplete integrals.

Study of Incomplete Elliptic Integrals Pertaining to pΨq Function

United Arab Emirates United Arab Emirates

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Study of Incomplete Elliptic Integrals Pertaining to Ψ Function

Elliptic-type integral plays a major role in the study of different problems of physics and technology including fracture mechanics. Many papers have been...

Study of Incomplete Elliptic Integrals Pertaining to _pΨ_q Function

Publicado en línea: 11 ene 2019

Páginas: 11 - 18

DOI: https://doi.org/10.2478/jamsi-2018-0009

Palabras clave
Incomplete elliptic integrals, complete elliptic integrals, fractional Riemann-Liouville differ integral operator, function

© 2019 Ravi Shanker Dubey, et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Study of Incomplete Elliptic Integrals Pertaining to pΨq Function

Publicado en línea: 11 ene 2019

Páginas: 11 - 18

DOI: https://doi.org/10.2478/jamsi-2018-0009

Palabras claveIncomplete elliptic integrals, complete elliptic integrals, fractional Riemann-Liouville differ integral operator, function

© 2019 Ravi Shanker Dubey, et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Study of Incomplete Elliptic Integrals Pertaining to _pΨ_q Function

Palabras clave
Incomplete elliptic integrals, complete elliptic integrals, fractional Riemann-Liouville differ integral operator, function