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Some relations on Ultraspherical matrix polynomials

مؤلف البحث
Ayman Shehata, Lalit Mohan Upadhyaya, and Shimaa I. Moustafa
ملخص البحث

The main aim of this work is to give a different approach to the proof of some properties for Ultraspherical matrix polynomials (UMPs). We obtain the connections between Laguerre, Hermite and Ultraspherical matrix polynomials. Some definitions of new families of Ultraspherical matrix polynomials are given. Finally, various families of linear, bilinear and bilateral generating matrix functions (GMFs) for UMPs are given.

تاريخ البحث
قسم البحث
مجلة البحث
Bulletin of Pure and Applied Sciences, Section - E - Mathematics & Statistics
عدد البحث
Vol. 38E, No. 2
موقع البحث
https://bpasjournals.com/admin/upload/dynamic2/625-635-bpas-e-dec.2019.pdf
سنة البحث
2019
صفحات البحث
625–635