Results 31 to 40 of about 157,678 (311)

Taylor’s series expansions for real powers of two functions containing squares of inverse cosine function, closed-form formula for specific partial Bell polynomials, and series representations for real powers of Pi

Demonstratio Mathematica, 2022
In this article, by virtue of expansions of two finite products of finitely many square sums, with the aid of series expansions of composite functions of (hyperbolic) sine and cosine functions with inverse sine and cosine functions, and in the light of ...
Qi Feng
doaj   +1 more source

A Study on Dual Hyperbolic Fibonacci and Lucas Numbers

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this study, the dual-hyperbolic Fibonacci and dual-hyperbolic Lucas numbers are introduced. Then, the fundamental identities are proven for these numbers.
Cihan Arzu, Azak Ayşe Zeynep, Güngör Mehmet Ali, Tosun Murat   +3 more
doaj   +1 more source

MCGDM Approach Using the Weighted Hyperbolic Sine Similarity Measure of Neutrosophic (Indeterminate Fuzzy) Multivalued Sets for the Teaching Quality Assessment of Teachers [PDF]

Neutrosophic Sets and Systems, 2022
A neutrosophic (indeterminate fuzzy) multivalued set (NMS) can be effectively described by neutrosophic number sequences with identical or different neutrosophic numbers zi = i + viI  [0, 1] (i = 1, 2, …, q) for , v  R and I  [I  , I + ]. Therefore,
Mailing Zhao, Jun Ye
doaj   +1 more source

Salem numbers and arithmetic hyperbolic groups [PDF]

, 2018
In this paper we prove that there is a direct relationship between Salem numbers and translation lengths of hyperbolic elements of arithmetic hyperbolic groups that are determined by a quadratic form over a totally real number field. As an application we
Emery, Vincent, Ratcliffe, John G., Tschantz, Steven T.   +2 more
core   +2 more sources

$L^2$-Betti numbers and non-unitarizable groups without free subgroups [PDF]

, 2009
We show that there exist non-unitarizable groups without non-abelian free subgroups. Both torsion and torsion free examples are constructed. As a by-product, we show that there exist finitely generated torsion groups with non-vanishing first $L^2$-Betti ...
Osin, D.
core   +1 more source

Hyperbolic complex numbers in two dimensions [PDF]

, 2000
19 ...
Silviu Olariu
openalex   +3 more sources

Hyperbolic Fibonacci Sequence

Universal Journal of Mathematics and Applications, 2019
In this paper, we investigate the hyperbolic Fibonacci sequence and the hyperbolic Fibonacci numbers. Furthermore, we give recurrence relations, the golden ratio and Binet's formula for the hyperbolic Fibonacci sequence and Lorentzian inner product ...
Fügen Torunbalcı Aydın
doaj   +1 more source

Two identities and closed-form formulas for the Bernoulli numbers in terms of central factorial numbers of the second kind

Demonstratio Mathematica, 2022
In this article, the authors present two identities involving products of the Bernoulli numbers, provide four alternative proofs for these two identities, derive two closed-form formulas for the Bernoulli numbers in terms of central factorial numbers of ...
Chen Xue-Yan, Wu Lan, Lim Dongkyu, Qi Feng   +3 more
doaj   +1 more source

Additional Fibonacci-Bernoulli relations

Researches in Mathematics, 2022
We continue our study on relationships between Fibonacci (Lucas) numbers and Bernoulli numbers and polynomials. The derivations of our results are based on functional equations for the respective generating functions, which in our case are combinations ...
K. Adegoke, R. Frontczak, T.P. Goy
doaj   +1 more source

Hyperbolic prime number theorem

Acta Mathematica, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Friedlander, John B., Iwaniec, Henryk
openaire   +2 more sources