A defect density which quantifies the deviation from the spin ground state characterizes non-
equilibrium dynamics during phase transitions. The widely recognized Kibble-Zurek scaling …

The first-passage problem of the Ornstein–Uhlenbeck process to a boundary is a long-
standing problem with no known closed-form solution except in specific cases. Taking this …

This paper introduces novel solutions for inflation and late-time cosmic acceleration within
the framework of quantum Lovelock gravity, utilizing Friedmann equations. Furthermore, we …

We present analytical and numerical solutions of the Lippmann-Schwinger equation for the
scattered wave functions generated by confocal parabolic billiards and parabolic segments …

We present analytical and numerical solutions of the Lippmann-Schwinger equation for the
scattered wavefunctions generated by confocal parabolic billiards and parabolic segments …

This paper uses the convolution theorem of the Laplace transform to derive an inverse
Laplace transform for the product of two parabolic cylinder functions in which the orders as …

ABSTRACT Recently,[Veestraeten D. An integral representation for the product of parabolic
cylinder functions. Integral Transforms Spec Funct. 2017; 28 (1): 15–21] derived an integral …

In this paper, we consider the third-order differential equation of the quadratic products of
Hermite functions and present the integral representations of products of Hermite functions …