Results 1 to 10 of about 69 (63)

Existence and reduction of generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials [PDF]

open access: yesArchivum 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, L.M., Ruiz, F.J., Varona, J.L.
  +12 more sources

Apostolicity as Divine Attribute in Trinitarian Relationship: the origin and nature of apostolicity and how it is demonstrated [PDF]

open access: yesPharos Journal of Theology, 2021
This paper responds to the question what is the origin and nature of apostolicity and how it is demonstrated? The investigation examines the meaning of apostolicity found in the New Testament, its significant transition through the post-apostolic period,
Dr Erwin Samuel Henderson
doaj   +1 more source

Apostolicity II: How does divine apostolicity affect God’s interaction with the world and humanity? [PDF]

open access: yesPharos Journal of Theology, 2023
Investigating the research question of how divine apostolicity affects God’s interaction with the world and humanity, predicates apostolicity as being a divine attribute.
Erwin Samuel Henderson
doaj   +1 more source

Primacy in the Ancient Church (from the 2nd to the mid-5th century): a study in typology [PDF]

open access: yesВестник Православного Свято-Тихоновского гуманитарного университета: Серия ИИ. История, история Русской Православной Церкви, 2021
The question of the realisation of primacy in the ancient Church has been mainly studied from the point of view of the ecclesiological and politico-ecclesiastical foundations of this phenomenon. In this paper, the author approaches the problem of primacy
Georgy Zakharov
doaj   +1 more source

Higher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials [PDF]

open access: yesMathematics, 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
openaire   +4 more sources

“Apostolic” and “Imperial” discourse in the development of the Roman Primacy in the 4th century [PDF]

open access: yesВестник Православного Свято-Тихоновского гуманитарного университета: Серия ИИ. История, история Русской Православной Церкви, 2016
The article is devoted to the evolution of the Roman primacy in the 4th century. The Christianization of the Empire accelerated the process of regional consolidation of the episcopate, but did not lead to the emergence of specific «imperial ecclesiology».
Zakharov Georgii
doaj   +1 more source

Some new classes of degenerated generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials

open access: yesCarpathian 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.
openaire   +5 more sources

Die eenheid van die kerk in gedrang

open access: yesHTS Teologiese Studies/Theological Studies, 2010
The unity of the church in jeopardy This article examines the possible influence that a church’s understanding of ecclesiology could have on its approach to homosexual people, with special reference to the Netherdutch Reformed Church of Africa (NRCA ...
Tanya van Wyk, Johan Buitendag
doaj   +1 more source

‘Ever old and ever new, keep me travelling along with you’: 21st Century Notae Ecclesiae specifically necessary for churches in southern Africa

open access: yesHTS Teologiese Studies/Theological Studies, 2011
The ecumenical marks of the church – unity, holiness, catholicity and apostolicity – have served it well as defining characteristics since the 4th century CE.
Graham A. Duncan
doaj   +1 more source

Fourier expansions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials [PDF]

open access: yesMathematics of Computation, 2011
We find Fourier expansions of Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials. We give a very simple proof of them.
openaire   +2 more sources

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