Die Partiellen Differential-gleichungen der mathematischen Physik. By Heinrich Weber, based on Riemann's lectures. Vol. ii. Pp. 527. (Brunswick: Fried. Vieweg and Son, 1901.) ...

Some equations are beautiful because they reveal unexpected relationships between different subjects. The Loewner differential equation, introduced by Charles Loewner in 1923, describes the time ...

A high-resolution global magnetic gradient tensor (MGT) model is an essential tool for aided navigation. However, the high-order expansion using the traditional spherical harmonic (SH) method will ...

Explanations are based on concrete examples rather than abstract general theory. The book starts from very beginning of complex numbers, and extends theory of Introduction to Elliptic Function and ...

As well, the Frobenius method around all regular singular points for κ -Hypergeometric equation is employed in [24] , Recently, [25] [26] thoroughly discussed the technique for obtaining an exact ...

2. Improved generalized differential transform method for a class of linear non-homogeneous ordinary fractional differential equations. 3. Incomplete K2-Function. 4.

We survey the theory of vector-valued modular forms and their connections with modular differential equations and Fuchsian equations over the three-punctured sphere. We present a number of numerical ...

A differential equation describes each node of that system. With the closed-form solution, if you replace it inside this network, it would give you the exact behavior, as it’s a good ...

We present here another method of solution for the problem outlined in the introduction. In principle, by considering that the HJ approach leads to the hypergeometric function for t (q) as given by ...