Certain New Results Involving Multivariable Aleph ℵ-Function, Srivastava Polynomials, Hypergeometric Functions and H¯-Function

• Published in: International journal of applied and computational mathematics Vol. 7; no. 5
• Main Authors: Bhargava, Alok, Jain, Ravi Kumar, Singh, Jagdev
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 2021; Springer Nature B.V
• Subjects: Applications of Mathematics; Applied mathematics; Composition; Computational mathematics; Computational Science and Engineering; Hypergeometric functions; Integrals; Mathematical analysis; Mathematical and Computational Physics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Nuclear Energy; Operations Research/Decision Theory; Original Paper; Polynomials; Theoretical; Multivariable Aleph function; 33C47; General class of Srivastava’s polynomials; function; Hypergeometric function; 33C70; 33C60; Single variable; 33C05
• ISSN: 2349-5103; 2199-5796
• DOI: 10.1007/s40819-021-01071-w

Integral formulas are helpful in solving many complex problems of science and engineering. Many integral formulas involving certain special functions and their compositions have been studied and developed by many researchers. Qureshi et al. (Glob J Sci Front Res 11(4):75–80, 2011) and Slater (Generalized Hypergeometric Functions, Cambridge University Press, Cambridge, 1966) gives interesting results in their works. By using these results, we have developed three new results in the form of integral formulas which includes the composition of multivariable Aleph-function, General class of Srivastava’s Polynomials, two hypergeometric functions and single variable H ¯ function. Due to the general nature of the parts of integrand, several new and known results can be obtained from these findings. Some special cases of our main results are also considered.