Special functions have many remarkable properties that make them useful in various fields such as combinatory, astronomy, applied mathematics, physics, and engineering. This volume presents 15 chapters that show the latest trends in numerical analysis related to special functions. These chapters also show how complex analysis can help solve partial differential equations that arise in different sciences and engineering. This volume is a valuable resource for mathematicians and researchers who want to learn about advanced numerical methods and computational techniques for solving complex problems.
List of Chapters
1. Modified Adaptive Synchronization and Anti Synchronization method for Fractional-order chaotic systems with uncertain parameters.
2. Improved generalized differential transform method for a class of linear non-homogeneous ordinary fractional differential equations.
3. Incomplete K2-Function.
4. Some Results On Incomplete Hypergeometric Functions.
5. Transcendental Bernstein Series: Interpolation and Approximation.
6. Some Sufficient Conditions For Uniform Convexity Of Normalized 1F2 Function.
7. From Abel continuity theorem to Paley-Wiener theorem…
8. A New Class of Truncated Exponential-Gould-Hopper-based Genocchi Polynomials.
9. Computational preconditioned Gauss-Seidel via half-sweep approximation to Caputo's time fractional differential equations.
10. Krasnoselskii-type Theorems for Monotone Operators in Ordered Banach Algebra with Applications in Fractional Differential Equations and Inclusion.
11. General fractional order quadratic functional integral equations: Existence, properties of solutions and some of its Applications.
12. Nonlinear set-valued delay functional integral equations of Volterra-Stieltjes type: Existence of solutions, continuous dependence and applications.
13. Certain Saigo Fractional Derivatives Of Extended Hypergeometric Functions.
14. Some Erdelyi-kober Fractional Integrals Of The Extended Hypergeometric Functions.
15. On solutions of Kinetic Model by Sumudu transform.
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