The Integrals on Spherical Regions in

Murat Ozcek

Gaziantep University, Gaziantep, Turkey

Abstract

This paper is dedicated to find the values of the integrals in the spherical region of depending on the generative Kernel method by finding the integral formula that we use in the orthogonal and regular operations to find Ortho-normal polynomials on the sphere with radius r. Also, we illustrate many examples to clarify the validity of our work.

Keywords: Generative kernel; spherical region; Euclidean space; integral formula