Results 11 to 20 of about 2,163 (253)
Existence and reduction of generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials [PDF]
Archivum Mathematicum, 2019 One can find in the mathematical literature many recent papers studying the generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials, defined by means of generating functions. In this article we clarify the range of parameters in which these definitions are valid and when they provide essentially different families of polynomials ...
Navas Vicente, Luis Manuel +2 more
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New Apostolic Reformation: Apostolic Ministry for Today
Kairos (English Ed.), 2008 This article analyzes the idea of Peter Wagner, the main representative of the New Apostolic Reformation, that apostles should and must govern local church congregations.
Ervin Budiselić
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Higher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials [PDF]
Mathematics, 2018 In this paper, we present a systematic and unified investigation for the Apostol-Bernoulli polynomials, the Apostol-Euler polynomials and the Apostol-Genocchi polynomials. By applying the generating-function methods and summation-transform techniques, we establish some higher-order convolutions for the Apostol-Bernoulli polynomials, the Apostol-Euler ...
Yuan He +3 more
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British Educational Research Journal, EarlyView., 2023 Abstract Early childhood has increasingly been acknowledged as a vital time for all children. Inclusive and quality education is part of the United Nations Sustainable Development Goals, with the further specification that all children have access to quality pre‐primary education.
Laura H. V. Wright +8 more
wiley +1 more source
Carpathian Mathematical Publications, 2022 The aim of this paper is to study new classes of degenerated generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order $\alpha$ and level $m$ in the variable $x$. Here the degenerate polynomials are a natural extension of the classic polynomials. In more detail, we derive their explicit expressions, recurrence relations and
Ramírez, W., Cesarano, C.
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Fourier expansions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials [PDF]
Mathematics of Computation, 2011 We find Fourier expansions of Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials. We give a very simple proof of them.
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Asymptotic estimates for Apostol-Bernoulli and Apostol-Euler polynomials [PDF]
Mathematics of Computation, 2012 We analyze the asymptotic behavior of the Apostol-Bernoulli polynomials $\mathcal{B}_{n}(x;λ)$ in detail. The starting point is their Fourier series on $[0,1]$ which, it is shown, remains valid as an asymptotic expansion over compact subsets of the complex plane.
Luis M. Navas +2 more
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Some Formulae of Products of the Apostol‐Bernoulli and Apostol‐Euler Polynomials [PDF]
Discrete Dynamics in Nature and Society, 2012 Some formulae of products of the Apostol‐Bernoulli and Apostol‐Euler polynomials are established by applying the generating function methods and some summation transform techniques, and various known results are derived as special cases.
Yuan He, Chunping Wang
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An Assessment of the History of Christian Mission in Talensiland: Addressing the Issues of Conflict and Accommodation for Discipleship and Church Growth [PDF]
Journal of Education and Learning TechnologyChristians throughout the ages have come to believe that the Great Commission, recorded in Matthew 28:19-20 enjoins them to proclaim the gospel to every person everywhere in the world.
Samuel Zuul Bayeti
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