Research Article
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Year 2025, Early Access, 1 - 12
https://doi.org/10.15672/hujms.1597774

Abstract

References

  • [1] K. Aomoto and M. Kita, Theory of hypergeometric functions, Springer Monographs Math, Tokyo, 2011.

Strongly completely monotonic functions on time scales

Year 2025, Early Access, 1 - 12
https://doi.org/10.15672/hujms.1597774

Abstract

In this paper, we introduce the concept of strongly completely monotonic functions on time scales and explore several properties of these functions. We then present key results that are applied to analyze the cases for continuous, discrete, and quantum time scales. As applications, we prove that the Gauss hypergeometric functions $F(a,b;c;z)$ and the confluent hypergeometric functions of the first kind $M(a,c,z)$ are absolutely monotonic, while the confluent hypergeometric functions of the second kind $U(a,b;z)$ are both strongly completely monotonic and completely monotonic.

References

  • [1] K. Aomoto and M. Kita, Theory of hypergeometric functions, Springer Monographs Math, Tokyo, 2011.
There are 1 citations in total.

Details

Primary Language English
Subjects Real and Complex Functions (Incl. Several Variables)
Journal Section Mathematics
Authors

Jing-feng Tian 0000-0002-0631-038X

Xiao-yue Du 0009-0003-7792-6231

Zhong-xuan Mao 0000-0001-5089-301X

Jun-yi Li 0009-0006-6010-2174

Early Pub Date April 11, 2025
Publication Date
Submission Date December 8, 2024
Acceptance Date February 28, 2025
Published in Issue Year 2025 Early Access

Cite

APA Tian, J.-f., Du, X.-y., Mao, Z.-x., Li, J.-y. (2025). Strongly completely monotonic functions on time scales. Hacettepe Journal of Mathematics and Statistics1-12. https://doi.org/10.15672/hujms.1597774
AMA Tian Jf, Du Xy, Mao Zx, Li Jy. Strongly completely monotonic functions on time scales. Hacettepe Journal of Mathematics and Statistics. Published online April 1, 2025:1-12. doi:10.15672/hujms.1597774
Chicago Tian, Jing-feng, Xiao-yue Du, Zhong-xuan Mao, and Jun-yi Li. “Strongly Completely Monotonic Functions on Time Scales”. Hacettepe Journal of Mathematics and Statistics, April (April 2025), 1-12. https://doi.org/10.15672/hujms.1597774.
EndNote Tian J-f, Du X-y, Mao Z-x, Li J-y (April 1, 2025) Strongly completely monotonic functions on time scales. Hacettepe Journal of Mathematics and Statistics 1–12.
IEEE J.-f. Tian, X.-y. Du, Z.-x. Mao, and J.-y. Li, “Strongly completely monotonic functions on time scales”, Hacettepe Journal of Mathematics and Statistics, pp. 1–12, April 2025, doi: 10.15672/hujms.1597774.
ISNAD Tian, Jing-feng et al. “Strongly Completely Monotonic Functions on Time Scales”. Hacettepe Journal of Mathematics and Statistics. April 2025. 1-12. https://doi.org/10.15672/hujms.1597774.
JAMA Tian J-f, Du X-y, Mao Z-x, Li J-y. Strongly completely monotonic functions on time scales. Hacettepe Journal of Mathematics and Statistics. 2025;:1–12.
MLA Tian, Jing-feng et al. “Strongly Completely Monotonic Functions on Time Scales”. Hacettepe Journal of Mathematics and Statistics, 2025, pp. 1-12, doi:10.15672/hujms.1597774.
Vancouver Tian J-f, Du X-y, Mao Z-x, Li J-y. Strongly completely monotonic functions on time scales. Hacettepe Journal of Mathematics and Statistics. 2025:1-12.