Unification of q -exponential function and related q -numbers and polynomials

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Mahmudov N., Momenzadeh M.

4th International Conference on Analysis and Applied Mathematics, ICAAM 2018, Mersin, Turkey, 6 - 09 September 2018, vol.1997, (Full Text)

• Nəşrin Növü: Conference Paper / Full Text
• Cild: 1997
• Doi nömrəsi: 10.1063/1.5049029
• Çap olunduğu şəhər: Mersin
• Ölkə: Turkey
• Açıq Arxiv Kolleksiyası: Konfrans Materialı, Məqalə
• Adres: Yox

Qısa məlumat

The main purpose of this paper is to introduce and investigate a class of generalized Bernoulli polynomials and Euler polynomials based on the generating function. We unify all forms of q-exponential functions by one more parameter. We study some conditions on this parameter to related this to some classical results for q-Bernoulli numbers and polynomials.