On differential equations of function defined by rising and central factorials

T. Goy

doi:10.12737/4702

ON DIFFERENTIAL EQUATIONS OF FUNCTION DEFINED BY RISING AND CENTRAL FACTORIALS On differential equations of function defined by rising and central factorials

АА Аа

Published in Actual directions of scientific researches of the XXI century: theory and practice · Volume 2, Issue 4, p. 1 · Pages 58–61 · Rubric: Section: Differential and Integral Equations

DOI: https://doi.org/10.12737/4702

Received: 29.08.2014 Accepted: 08.10.2014 Published: 08.10.2014 Language of publication: RUS

Authors

T. Goy

ABSTRACT

We consider new functions defined by rising and central factorials. We have established their relationship with the hypergeomertic functions. It is shown, that constructed functions are solutions of ordinary differential equations, derived in the article.

KEYWORDS

rising factorial power, central factorial power, generalized hypergeometric function, Cauchy problem

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GOST

Goy T. On differential equations of function defined by rising and central factorials // Actual directions of scientific researches of the XXI century: theory and practice. 2014. no. 4. pp. 58-61. DOI: https://doi.org/10.12737/4702. (Date of access 19.10.2026).

MLA

T. Goy. "On differential equations of function defined by rising and central factorials." Actual directions of scientific researches of the XXI century: theory and practice 2.4 (2014): 58-61. DOI: https://doi.org/10.12737/4702.

APA

Goy T. (2014). On differential equations of function defined by rising and central factorials. Actual directions of scientific researches of the XXI century: theory and practice, 2(4), 58-61. https://doi.org/10.12737/4702

Chicago

T. Goy. "On differential equations of function defined by rising and central factorials." Actual directions of scientific researches of the XXI century: theory and practice 2, no. 4 (2014): 58-61. https://doi.org/10.12737/4702.

WIKI

{{cite journal | author = Goy T. | title = On differential equations of function defined by rising and central factorials | journal = Actual directions of scientific researches of the XXI century: theory and practice | year = 2014 | volume = 2 | issue = 4 | pages = 58-61 | doi = 10.12737/4702 }}

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ON DIFFERENTIAL EQUATIONS OF FUNCTION DEFINED BY RISING AND CENTRAL FACTORIALS On differential equations of function defined by rising and central factorials

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