An Approximation of Gaussian Integral Over (-1, 1) | Chapter 14 | Advances and Challenges in Science and Technology Vol. 8

 The Gaussian complete is useful in many arms of science, statistics and theory of games. There are some standard orders to evaluate the legendary Gaussian integral ∫∞₋∞ e-x2 dx. However, the evaluation of ∫ e-x2 dx over a definite interval is a complex task. This division is devoted to approximating the integral ∫1-1 e-x2 dx by fixing its bounds. Our form may be secondhand for approximation of ∫ e-x2 dx over other definite intervals.

Author(s) Details:

Yogesh J. Bagul,
Department of Mathematics, K. K. M. College, Manwath, Dist: Parbhani(M. S.) - 431505, India.

Please see the link here: https://stm.bookpi.org/ACST-V8/article/view/12393

Extended Exponential and Extorial Type Solutions of Differential and Difference Equations | Chapter 2 | Research and Applications Towards Mathematics and Computer Science Vol. 1

 This affiliate introduces statement exponential and extorial functions appeared from exponential and extorial functions. These two types of functions are distinctive types of continuous and discrete energetic geometric functions. These functions are used to arrive find answers of higher order characteristic and difference equatings. The results are supported by appropriate instances.

Author(s) Details:

T. Sathinathan,
Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur-635 601, Tamil Nadu, India.

S. Jaraldpushparaj,
Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur-635 601, Tamil Nadu, India.

G. Britto Antony Xavier,
Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur-635 601, Tamil Nadu, India.

Please see the link here: https://stm.bookpi.org/RATMCS-V1/article/view/10685

Extorial Solutions for Fractional and Partial Difference Equations with Applications: A Scientific Explanation | Chapter 4 | Theory and Practice of Mathematics and Computer Science Vol. 10

 In the extension of the exponential function indicated by, we create a new function that is defined by substituting polynomials with polynomial factorials e^(k)l(1) an novel and one-of-a-kind offering, dubbed extorial function. It is indicated which identities must be used with difference operators and factorials. These identities are used to solve the difference and discrete partial difference equations for heat and current flows in the RL circuit. Numerical verifications back up the above findings. The solution for current flow in the RL circuit is effectively generated based on the findings after constructing the current flow as discrete and fractional equations.

Author(s) Details

Dr. G. Britto Antony Xavier
Department of Mathematics, Sacred Heart College, Tirupattur, Vellore‐635601, Tamil Nadu, India.

Dr. S. John Borg
Department of Mathematics, Sacred Heart College, Tirupattur, Vellore‐635601, Tamil Nadu, India.

Mr. S. Jaraldpushparaj
Department of Mathematics, Sacred Heart College, Tirupattur, Vellore‐635601, Tamil Nadu, India.

View Book :- https://stm.bookpi.org/TPMCS-V10/article/view/1074