Hölder's Inequalities for a Class of Analytic Functions Connected with q-confluent Hypergeometric Distribution

Authors

  • Sheza M. El-Deeb
  • G. Murugusundaramoorthy

Keywords:

q-Calculus, confluent hypergeometric series, analytic function, H¨older’s inequalities, the modified Hadamard product, integral means, partial sums.

Abstract

In this paper, we introduce new a class of analytic functions connected with q−confluent hypergeometric distribution. The results on modified Hadamard product, H¨older’s inequalities some interesting convolution properties, closure properties under integral transforms, integral means and partial sums, are considered for functions belonging to these classes.

Key words and phrases. q-Calculus, confluent hypergeometric series, analytic function, H¨older’s inequalities, the modified Hadamard product, integral means, partial sums.

2000 Mathematics Subject Classification. Primary 05A30, 30C45; Secondary 11B65, 47B38

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Published

2025-05-18

How to Cite

Sheza M. El-Deeb, & G. Murugusundaramoorthy. (2025). Hölder’s Inequalities for a Class of Analytic Functions Connected with q-confluent Hypergeometric Distribution. Jordan Journal of Mathematics and Statistics, 15(1), 65–88. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/765

Issue

Vol. 15 No. 1 (2022)

Section

Articles