Often mathematical formulae require the addition of many variables Summation or sigma notation is a convenient and simple form of shorthand used to give a concise expression for a sum of the values of ...

Abstract: In this paper, we proved transformation formulas for nonterminating very well-poised 4Φ3-series, 4Ψ4-series, 6Φ5-series, 6Ψ6-series, 8Φ7-series and 8Ψ8-series, which utilize the method of ...

Summation, also known as sigma notation, is a mathematical concept used to represent the addition of a sequence of numbers or terms. It is widely employed in various fields such as mathematics, ...

Abstract: In this paper we used a new class of special polynomials which satisfy a Sturm Liouville differential equation of second order. These polynomials form a basis of a polynomial space. Using ...

Polynomial splines have played an important role in image processing, medical imaging and wavelet theory. Exponential splines which are of more general concept have been recently investigated.We focus ...

Associated Legendre functions arise in many problems of mathematical physics. By using the generalized Abel-Plana formula, in this paper we derive a summation formula for the series over the zeros of ...

The Mathematical Gazette is the original journal of the Mathematical Association and it is now over a century old. Its readership is a mixture of school teachers, college and university lecturers, ...

Polynomial splines have played an important role in image processing, medical imaging and wavelet theory. Exponential splines which are of more general concept have been recently investigated.We focus ...