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Abstract: Explicit formulas for converting spherical wave expansions with vector basis functions and scalar expansion coefficients into spherical wave expansions with scalar basis functions and vector ...
👉 Learn how to write the explicit formula for a geometric sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence.
👉 Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed ...
Abstract: The Seeley-DeWitt coefficients of a heat kernel of Laplace operator satisfy a system of equations of a special form. In this paper we present a new non-recursive formula for the diagonal ...