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NAMP JOURNAL

Journal of NAMP

6.−Polynomial Bounds for a Subclass of Univalent Function Regarding Modified Sigmoid Function

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by O. Fagbemiro1*, J.O. Hamzat2, E. Ukeje3 and A. T. Oladipo4
1 Department of Mathematics, Federal University Agriculture Abeokuta, Abeokuta, Nigeria P.M.B. 2240, Abeokuta, Nigeria.
2 Department of Mathematics, University of Lagos, Lagos, Nigeria
3 Department of Mathematics, Michael Okpara University of Agriculture UmudikeP.M.B. Umuahia, Nigeria.
4 Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, Nigeria P.M.B. 4000, Ogbomoso, Nigeria.

Abstract
In this article, the authors investigated a new subclass of analytic univalent function which relate to ameliorated sigmoid function and the classical special polynomial function known as the Chebyshev polynomials by employing the concept of subordination. This investigation produced new interesting coefficient bounds. The famous Fekete-Szego inequalities were also pointed out.


Keywords: Analytic function, sigmoid function, Chebyshev polynomials, Salagean operator

5. A Subclass of − valent Functions for Operators On A Hilbert Space

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O. Fagbemiro1*, E. Ukeje2 and A.T. Oladipo3
1Department of Mathematics, Federal University Agriculture Abeokuta, Abeokuta, Nigeria, P.M.B. 2240, Abeokuta, Nigeria.
2Department of Mathematics, Michael Okpara University of Agriculture Umudike
P.M.B. Umuahia, Nigeria.
3Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso,
Nigeria, P.M.B. 4000, Ogbomoso, Nigeria.


Abstract
In this article, the authors investigated a new subclass of analytic functions for
operators on a Hilbert space relating to the unit disk .. = {.. ¸ .: |..| < ..}.

Interesting results on coefficient estimates, distortion theorem were pointed out forthis subclasses.

Keywords: Univalent function, coefficient estimate, distortion theorem.

4. Strong Convergence Analysis For Fixed Point, Variational Inequality And Equilibrium Problems In Hilbert Spaces

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By Francis Monday Nkwuda
Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria

Abstract
In this paper, we introduce and study strong convergence analysis for finding a common element of the set of fixed points of asymptotically nonexpansive mapping, the set of solutions of generalized mixed equilibrium problem and the set of solutions of variational inequality problem. We prove that the sequence generated converges strongly to the common element of the three aforementioned problems. Furthermore, an optimization problem is solved using the theorems in real Hilbert spaces.

Keywords: Inverse strongly monotone mapping, asymptotically nonexpansive mapping, equilibrium problem, Hilbert space.
2010hematics Subject Classification: 47H09; 47H10; 49J20; 49J40.

 

3. Speed Of Diatomic Molecules In Shifted Tietz-Wei Potential

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Akala A. O.
Department of Physics, University of Lagos, Akoka, Yaba, Lagos, Nigeria


Abstract
Increase in demands of smart devices, due to their current needs in every aspect of human endeavours has opened new opportunities for advances in semiconductor technology. In this study, bound states of a one-dimensional finite square well system, with a varying potential depth were determined, taking the width of the potential to be constant. The allowed energies were determined implicitly as the solutions to the transcendental equations; ….Please download the full article

 

2. Speed Of Diatomic Molecules In Shifted Tietz-Wei Potential

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by Mark Z.K1., Najoji S.D2 and Eyube E.S3.
1Department of Sciences, Post Primary Schools Management Board, P.M.B. 2260, Yola, Adamawa State, Nigeria
2Department of Basic Sciences, School of General and Remedial Studies. The Federal Polytechnic, P.M.B. 1006, Damaturu, Yobe State, Nigeria
3Department of Physics, Faculty of Physical Sciences, Modibbo Adama University, P.M.B. 2076, Yola, Adamawa State, Nigeria

Abstract
In this work, the shape invariant formalism of SUSYQM is employed in the derivation of approximate equation of bound state energy eigenvalues of the shifted Tietz-Wei potential (STWP). A Pekeris-type approximation model is used to eliminate the centrifugal term of the Schrödinger equation. The expression of bound state energy eigenvalues is used to obtain equation of speed of the system based on the Hellmann-Feynman theorem. Numerical data of bound state energy eigenvalues and speed of two diatomic molecules including O2 (X 3Σg-) and NO (X2 Πf) are obtained. The calculated energies are in excellent agreement with available literature data of the diatomic molecules. The results also show that the speed of the examined diatomic molecules increases with an increase in vibrational quantum number and decreases with increasing rotational quantum number.

Keywords: Shifted Tietz-Wei potential, Tietz-Hua potential, SUSYQM, eigen energies, speed of diatomic molecules

1) Ro-Vibrational Energies and Wave Functions Of Improved Tietz Potential by Ojar J.U1., Najoji S.D.2 and Eyube E.S.3 JNAMP Vol 63, Jan-March 2022 Pg 1-12

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by Ojar J.U1., Najoji S.D.2 and Eyube E.S.3

1. Department of Basic Science, Adamawa State College of Agriculture, P.M.B. 2088, Ganye, Adamawa State, Nigeria.
2Department of Basic Sciences, School of General and Remedial Studies. The Federal Polytechnic, P.M.B. 1006, Damaturu, Yobe State, Nigeria.
3Department of Physics, Faculty of Physical Sciences, Modibbo Adama University, P.M.B. 2076, Yola, Adamawa State, Nigeria.


Abstract
We have employed the techniques of exact quantization rule to obtain closed form expression for the bound state ro-vibrational energy eigenvalues of the improved Tietz potential. By considering the Morse potential as a special case of the improved Tietz potential, we have deduced closed-form expression for the ro-vibrational energy of Morse potential from the results of improved Tietz potential. We have also solved the Riccati equation via ansatz solution and obtained closed form expressions for the unnormalized radial wave functions for the improved Tietz and Morse potentials. We have computed ro-vibrational energies for the improved Tietz and Morse potentials and obtained results for four diatomic molecules including HCl, LiH, H2 and CO, our computed results are in near perfect agreement with available data of the diatomic molecules in the literature.

Keywords: Improved Tietz potential, ro-vibrational energy, Riccati equation, Schrödinger equation, exact quantization rule