Some generalised extended incomplete beta functions and applications

Oğuz Yağcı; Recep Şahin; İ. Onur Kıymaz; Ayşegül Çetinkaya

doi:10.54187/jnrs.1143905

EN

Some generalised extended incomplete beta functions and applications

Abstract

This paper introduces generalised incomplete beta functions defined by the generalised beta function. Firstly, we provide some of the generalised beta function's basic properties, such as integral representations, summation formulas, Mellin transform, and beta distribution. We then present several fundamental properties, such as integral representations, summation formulas, and recurrence relations with the help of the generalised incomplete beta functions.

Keywords

Gamma function, Beta function, Incomplete beta function, Beta distribution

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Oğuz Yağcı ^*
0000-0001-9902-8094
Türkiye

Recep Şahin
0000-0001-5713-3830
Türkiye

İ. Onur Kıymaz
0000-0003-2375-0202
Türkiye

Ayşegül Çetinkaya
0000-0002-1093-5497
Türkiye

Publication Date

August 31, 2022

Submission Date

July 14, 2022

Acceptance Date

August 22, 2022

Published in Issue

Year 2022 Volume: 11 Number: 2

DOI

https://doi.org/10.54187/jnrs.1143905

IZ

https://izlik.org/JA43LR86YH

APA

Yağcı, O., Şahin, R., Kıymaz, İ. O., & Çetinkaya, A. (2022). Some generalised extended incomplete beta functions and applications. Journal of New Results in Science, 11(2), 132-142. https://doi.org/10.54187/jnrs.1143905

AMA

1.Yağcı O, Şahin R, Kıymaz İO, Çetinkaya A. Some generalised extended incomplete beta functions and applications. JNRS. 2022;11(2):132-142. doi:10.54187/jnrs.1143905

Chicago

Yağcı, Oğuz, Recep Şahin, İ. Onur Kıymaz, and Ayşegül Çetinkaya. 2022. “Some Generalised Extended Incomplete Beta Functions and Applications”. Journal of New Results in Science 11 (2): 132-42. https://doi.org/10.54187/jnrs.1143905.

EndNote

Yağcı O, Şahin R, Kıymaz İO, Çetinkaya A (August 1, 2022) Some generalised extended incomplete beta functions and applications. Journal of New Results in Science 11 2 132–142.

IEEE

[1]O. Yağcı, R. Şahin, İ. O. Kıymaz, and A. Çetinkaya, “Some generalised extended incomplete beta functions and applications”, JNRS, vol. 11, no. 2, pp. 132–142, Aug. 2022, doi: 10.54187/jnrs.1143905.

ISNAD

Yağcı, Oğuz - Şahin, Recep - Kıymaz, İ. Onur - Çetinkaya, Ayşegül. “Some Generalised Extended Incomplete Beta Functions and Applications”. Journal of New Results in Science 11/2 (August 1, 2022): 132-142. https://doi.org/10.54187/jnrs.1143905.

JAMA

1.Yağcı O, Şahin R, Kıymaz İO, Çetinkaya A. Some generalised extended incomplete beta functions and applications. JNRS. 2022;11:132–142.

MLA

Yağcı, Oğuz, et al. “Some Generalised Extended Incomplete Beta Functions and Applications”. Journal of New Results in Science, vol. 11, no. 2, Aug. 2022, pp. 132-4, doi:10.54187/jnrs.1143905.

Vancouver

1.Oğuz Yağcı, Recep Şahin, İ. Onur Kıymaz, Ayşegül Çetinkaya. Some generalised extended incomplete beta functions and applications. JNRS. 2022 Aug. 1;11(2):132-4. doi:10.54187/jnrs.1143905