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3 F 4 Hypergeometric Functions as a Sum of a Product of 2 F 3 Functions.
- Source :
-
Axioms (2075-1680) . Mar2024, Vol. 13 Issue 3, p203. 17p. - Publication Year :
- 2024
-
Abstract
- This paper shows that certain   3 F 4 hypergeometric functions can be expanded in sums of pair products of   2 F 3 functions, which reduce in special cases to   2 F 3 functions expanded in sums of pair products of   1 F 2 functions. This expands the class of hypergeometric functions having summation theorems beyond those expressible as pair-products of generalized Whittaker functions,   2 F 1 functions, and   3 F 2 functions into the realm of   p F q functions where p < q for both the summand and terms in the series. In addition to its intrinsic value, this result has a specific application in calculating the response of the atoms to laser stimulation in the Strong Field Approximation. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HYPERGEOMETRIC functions
*WHITTAKER functions
*HYPERGEOMETRIC series
Subjects
Details
- Language :
- English
- ISSN :
- 20751680
- Volume :
- 13
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Axioms (2075-1680)
- Publication Type :
- Academic Journal
- Accession number :
- 176270552
- Full Text :
- https://doi.org/10.3390/axioms13030203