Results 51 to 60 of about 130,314 (163)
On the convergence criterion for branched continued fractions with independent variables
Karpatsʹkì Matematičnì Publìkacìï, 2018 In this paper, we consider the problem of convergence of an important type of multidimensional generalization of continued fractions, the branched continued fractions with independent variables.
R.I. Dmytryshyn
doaj +1 more source
Tasoev's continued fractions and Rogers–Ramanujan continued fractions
, 2004 We show some new variations on Tasoev's continued fractions [0;ak,…,ak︸m¯]k=1∞, where the periodic parts include the exponentials in k instead of the polynomials in k. We also mention some relations with other kinds of continued fractions, in particular,
Komatsu, Takao
core +1 more source
Probabilities as Values of Modular Forms and Continued Fractions
International Journal of Mathematics and Mathematical Sciences, 2009 We consider certain probability problems which are naturally related to integer partitions. We show that the corresponding probabilities are values of classical modular forms.
Riad Masri, Ken Ono
doaj +1 more source
, 2012 Just as the denominator polynomials of a J-fraction are orthogonal polynomials with respect to some moment functional, the denominator polynomials of an M-fraction are shown to satisfy a skew orthogonality relation with respect to a stronger moment ...
Sri Ranga, A.
core
Hankel Determinants of Non-Zero Modulus Dixon Elliptic Functions via Quasi C Fractions
Fractal and Fractional, 2019 The Sumudu transform of the Dixon elliptic function with non-zero modulus α ≠ 0 for arbitrary powers N is given by the product of quasi C fractions.
Rathinavel Silambarasan +1 more
doaj +1 more source
Real number approximation by a rational number in the approximating k-ary algorithm
Учёные записки Казанского университета: Серия Физико-математические науки, 2019 The best approximation by the irreducible fraction with the denominator not exceeding some specified value n was investigated. The aim of this study was to find the fastest approximation algorithm that enables to accelerate the convergence of the k-ary ...
R.R. Enikeev
doaj +1 more source
Matrix-valued continued fractions
, 2003 We discuss the properties of matrix-valued continued fractions based on Samelson inverse. We begin to establish a recurrence relation for the approximants of matrix-valued continued fractions.
Zhao, Huan-xi +3 more
core +1 more source
Some properties of continued fractions with applications in morkov processes
, 1972 Several results for continued fractions are first derived and are then shown to be applicable to numerical solution of differential-difference equations arising from linear birth-death processes.
O'donohoe, M R, Murphy, J A
core
, 2020 [ES]Las fracciones continuas han tenido un papel fundamental en el desarrollo de numerosas teorías matemáticas y actualmente siguen siendo un tema de investigación muy activo.
González Hernández, Álvaro
core
An Investigation of Continued Fractions
, 2023 The study of continued fractions has produced many interesting and exciting results in number theory and other related fields of mathematics. Continued fractions have been studied for centuries by many famous mathematicians such as Wallis, Euler, Gauss ...
Schroeder, Sandra +2 more
core