Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3464
Abstract
From the algebraic solution of $x^{m}-x+t=0$ for $m=2,3,4$ and the corresponding solution in terms of hypergeometric functions, we obtain a set of reduction formulas for hypergeometric functions. By differentiation and integration of these results, and applying other known reduction formulas of hypergeometric functions, we derive new reduction formulas of special functions as well as the calculation of some definite integrals in terms of elementary functions.
Keywords
Reduction formulas of special functions, hypergeometric functions, integrals of special functions, algebraic equations, trinomial equation
First Page
1799
Last Page
1821
Recommended Citation
GONZALEZ-SANTANDER, JUAN LUIS
(2023)
"Identities involving special functions from hypergeometric solution of algebraic equations,"
Turkish Journal of Mathematics: Vol. 47:
No.
6, Article 14.
https://doi.org/10.55730/1300-0098.3464
Available at:
https://journals.tubitak.gov.tr/math/vol47/iss6/14
