article · Integral Transforms and Special Functions · 2001

Some results on a generalized hypergeometric function

Н. А. Вирченко, S. L. Kalla, A. Al-Zamel

Cited by 77Abstract and details only

Abstract

Recently Al-Musallam and S.L. Kalla [1], [2] have developed a generalized hypergeometric function occuring in diffraction theory. We define here a new generalized hypergeometric function, using a special case of Wright's function. Some differential properties, integral representations and special cases are given. Corresponding incomplete generalized gamma function and its complementary function are also defined and some properties are obtained. The hypergeometric function 2R1 (a, b; c; τ; z) is revisited to obtain more properties, including contiguous relations, differential formulas and integral representations. Results given earlier by Al-Musallam and Kalla, Kobayashi and some classical results of incomplete gamma functions can be recovered from some results derived in this paper

Cite this paper

APA 7

Вирченко, Н. А., Kalla, S. L., & Al-Zamel, A. (2001). Some results on a generalized hypergeometric function. Integral Transforms and Special Functions, 12(1), 89–100. https://doi.org/10.1080/10652460108819336

MLA 9

Вирченко, Н. А., et al. “Some results on a generalized hypergeometric function.” Integral Transforms and Special Functions, vol. 12, no. 1, 2001, pp. 89–100, https://doi.org/10.1080/10652460108819336.

Chicago

Вирченко, Н. А., S. L. Kalla, and A. Al-Zamel. 2001. “Some results on a generalized hypergeometric function.” Integral Transforms and Special Functions 12 (1): 89–100. https://doi.org/10.1080/10652460108819336.

Harvard

Вирченко, Н.А., Kalla, S.L. and Al-Zamel, A. (2001) ‘Some results on a generalized hypergeometric function’, Integral Transforms and Special Functions, 12(1), pp. 89–100. Available at: https://doi.org/10.1080/10652460108819336.

BibTeX

@article{anon2001some,
  title = {{Some results on a generalized hypergeometric function}},
  author = {Вирченко, Н. А. and Kalla, S. L. and Al-Zamel, A.},
  journal = {Integral Transforms and Special Functions},
  volume = {12},
  number = {1},
  pages = {89--100},
  year = {2001},
  doi = {10.1080/10652460108819336}
}

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