A. Patra

collaborators

3 papers

math.AP2019

Similarity Analytical Solutions for the Schrodinger Equation with the Riesz Fractional Derivative in Quantum Mechanics

Asim Patra

The present article deals with the similarity method to tackle the fractional Schrodinger equation where the derivative is defined in the Riesz sense. Moreover the procedure of red…

math.NT2019

Appearance of Balancing and related number sequences in steady state probabilities of some Markov chains

Asim Patra, Gopal Krishna Panda

Balancing and Lucas-balancing numbers are solutions of a Diophantine equation and satisfy a second order homogeneous recurrence relation. Interestingly, these numbers can be seen a…

math.NT2018

Positive Integer Solutions of Certain Diophantine Equations Involving Lucas-Balancing numbers

Asim Patra

In this article the Diophantine equations of the form $x^{2} - 8 C_{n} x y + 16 y^{2} = \pm 2^{r}$ , $x^{4} - 8 C_{n} x^{2} y + 16 y^{2} = \pm 2^{r}$ and $x^{2} - 8 C_{n} x y^{2} + 16 y^{4} = \pm 2^{r}$ are take…