Geometric admissibility of hypergeometric and integral operators for the synthesis of digital filters

Authors

  • R. Kamali
    Department of Mathematics, SRM Institute of Science and Technology, Ramapuram, Chennai, India
  • S. Prema
    Department of Mathematics, SRM Institute of Science and Technology, Ramapuram, Chennai, India

Keywords:

Harmonic mappings, Uniformly convex functions, Gaussian hypergeometric functions, Integral operators, Digital filter design

Abstract

In this study, rigorous analytical criteria are developed to determine when the Gaussian hypergeometric function belongs to the Sakaguchi-type class P(delta, sigma,t). A computable sufficient condition is established in Theorem 2.1, and the associated integral operator G( lambda, mu; nu; z) is shown to satisfy the admissibility conditions for membership in P(delta, sigma,t) under the stated parameter assumptions. These theoretical results are interpreted in the context of digital filter synthesis through an admissibility-based design framework. The proposed approach provides a systematic procedure for selecting admissible parameter values that satisfy the required geometric conditions for filter construction. Numerical examples, including admissibility contour maps and frequency-response characteristics, illustrate the proposed framework and demonstrate its potential for digital filter design based on geometric function theory.

Dimensions

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Published

2026-08-11

How to Cite

Geometric admissibility of hypergeometric and integral operators for the synthesis of digital filters. (2026). Journal of the Nigerian Society of Physical Sciences, 8(3), 3609. https://doi.org/10.46481/jnsps.2026.3609

Issue

Volume 8, Issue 3, August 2026 (In Progress)

Section

Mathematics & Statistics
Copyright & Licensing

Copyright (c) 2026 R. Kamali, S. Prema (Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Geometric admissibility of hypergeometric and integral operators for the synthesis of digital filters. (2026). Journal of the Nigerian Society of Physical Sciences, 8(3), 3609. https://doi.org/10.46481/jnsps.2026.3609

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