## Found 1,209 Documents (Results 1–100)

100
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### Parabolic convergence regions of branched continued fractions of the special form. (English)Zbl 07482099

MSC:  30B70 40A15
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### Generalized continued fraction expansions for $$\pi$$ and $$e$$. (English)Zbl 07479275

MSC:  11Y65 30B70
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MSC:  30B70
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### On entry II.16.12: a continued fraction of Ramanujan. (English)Zbl 1476.11014

MSC:  11A55 33D45 30B70
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### Word metric, stationary measure and Minkowski’s question mark function. (English)Zbl 07512383

MSC:  22E40 30B70 60G10
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### On the convergence of multidimensional $$S$$-fractions with independent variables. (English)Zbl 1458.32001

MSC:  32A05 32A30 30B70
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### Necessary and sufficient conditions for extending a function to a Schur function. (English. Russian original)Zbl 1461.30084

Sb. Math. 211, No. 12, 1660-1703 (2020); translation from Mat. Sb. 211, No. 12, 3-48 (2020).
MSC:  30E05 30H05 30B70
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### Schur’s criterion for formal Newton series. (English. Russian original)Zbl 1456.30002

Math. Notes 108, No. 6, 884-888 (2020); translation from Mat. Zametki 108, No. 6, 920-924 (2020).
MSC:  30B10 30B70
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### Truncation error bounds for the branched continued fraction $$\sum_{i_{1=1}}^N\frac{a_{i(1)}}{1}+\sum_{i_{2=1}}^{i_1}\frac{a_{i(2)}}{1}+\sum_{i_{3=1}}^{i_2}\frac{a_{i(3)}}{1}+\cdots$$. (English. Ukrainian original)Zbl 1456.30006

Ukr. Math. J. 72, No. 7, 1018-1029 (2020); translation from Ukr. Mat. Zh. 72, No. 7, 877-885 (2020).
MSC:  30B70
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### Full indefinite Stieltjes moment problem and Padé approximants. (English)Zbl 1463.30169

MSC:  30E05 30B70 46C20
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### A value region problem for continued fractions and discrete Dirac equations. (English)Zbl 1456.30007

MSC:  30B70 11Y65
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### On the rate of approximation in the unit disc of $$H^1$$-functions by logarithmic derivatives of polynomials with zeros on the boundary. (English. Russian original)Zbl 1446.30056

Izv. Math. 84, No. 3, 437-448 (2020); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 3, 3-14 (2020).
MSC:  30E10 30B70
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### Convergence of a limit periodic Schur continued fraction. (English. Russian original)Zbl 1466.40001

Math. Notes 107, No. 5, 701-712 (2020); translation from Mat. Zametki 107, No. 5, 643-656 (2020).
MSC:  40A15 30B70 30D99
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### Estimates of the pointwise and uniform convergence rate of branched continued fractions with nonequivalent variables. (Ukrainian, English)Zbl 1463.40015

MSC:  40A15 30B70 11A55

### Multidimensional associated fractions with independent variables and multiple power series. (English. Ukrainian original)Zbl 1435.32006

Ukr. Math. J. 71, No. 3, 370-386 (2019); translation from Ukr. Mat. Zh. 71, No. 3, 325-349 (2019).
MSC:  32A30 30B70 40A15
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### A truncation error bound for some branched continued fractions of the special form. (English)Zbl 1445.30002

MSC:  30B70 40A15 11J70
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### Schur’s criterion for formal power series. (English. Russian original)Zbl 1461.30007

Sb. Math. 210, No. 11, 1563-1580 (2019); translation from Mat. Sb. 210, No. 11, 58-75 (2019).
MSC:  30B10 30B70
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### On some of convergence domains of multidimensional S-fractions with independent variables. (English)Zbl 1423.32004

MSC:  32A17 30B70 40A15
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### Contiguous relations, Laplace’s methods, and continued fractions for $${}_3F_2(1)$$. (English)Zbl 1416.33011

MSC:  33C20 30B70 30E10
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### About the cover: The continued fraction of Rogers-Ramanujan. (English)Zbl 1419.30003

MSC:  30B70 11Y65
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### Möbius-Lie geometry and its extension. (English)Zbl 1415.51003

Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 20th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 2–7, 2018. Sofia: Avangard Prima; Sofia: Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering. Geom. Integrability Quantization 20, 13-61 (2019).
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MSC:  30B70
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### Analytic theory of continued fractions. Reprint of the 1948 original published by D. van Nostrand Company, Inc. (English)Zbl 1423.30002

Dover Books on Mathematics. Mineola, NY: Dover Publications (ISBN 978-0-486-82369-0). xiii, 433 p. (2018).
MSC:  30-01 30B70 40A15

### On formal continued fractions related to power series expansion. (English)Zbl 1422.30005

MSC:  30B70 11A55 68W25
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### Continuous nowhere monotonous function, defined in terms of nega-3-adic and $$A_2$$-continued fractions. (Ukrainian. English summary)Zbl 1424.11111

MSC:  11K50 30B70 37E05

### Estimates of errors of approximations for multidimensional $$S$$-fraction with independentvariables. (Ukrainian. English summary)Zbl 1424.40015

MSC:  40A15 30B70
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### Representations of the functions $$\sinh z$$, $$\cosh z$$, $$\sin z$$, and $$\cos z$$ by continued fractions. (English. Ukrainian original)Zbl 1443.30003

Ukr. Math. J. 70, No. 5, 786-805 (2018); translation from Ukr. Mat. Zh. 70, No. 5, 682-698 (2018).
MSC:  30B70 11A55
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### Alternating sums of elements of continued fractions and the Minkowski question mark function. (English. Russian original)Zbl 1404.30004

J. Math. Sci., New York 234, No. 5, 595-597 (2018); translation from Zap. Nauchn. Semin. POMI 458, 13-16 (2017).
MSC:  30B70 11A55
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### Coding of geodesics on some modular surfaces and applications to odd and even continued fractions. (English)Zbl 1400.30051

MSC:  30F99 30B70
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### On the convergence of multidimensional $$S$$-fractions with independent variables. (English)Zbl 1407.40006

MSC:  40A15 30B70
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### Some properties of approximants for branched continued fractions of the special form with positive and alternating-sign partial numerators. (English)Zbl 1394.40004

MSC:  40A15 30B70
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### Orthogonal polynomials related to $$_{g}$$-fractions with missing terms. (English)Zbl 1402.42037

MSC:  42C05 30B70 30C80
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### On singular points of meromorphic functions determined by continued fractions. (English. Russian original)Zbl 1400.30004

Math. Notes 103, No. 4, 527-536 (2018); translation from Mat. Zametki 103, No. 4, 490-502 (2018).
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### An Euler-genus approach to the calculation of the crosscap-number polynomial. (English)Zbl 1393.05159

MSC:  05C31 30B70 42C05
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### Continued fractions with limit periodic coefficients. (English. Russian original)Zbl 1393.30005

Sb. Math. 209, No. 2, 187-205 (2018); translation from Mat. Sb. 209, No. 2, 47-65 (2018).
MSC:  30B70
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### $$F$$-polynomial formula from continued fractions. (English)Zbl 1423.13130

MSC:  13F60 11A55 30B70
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### Some results on a special case of a general continued fraction of Ramanujan. (English)Zbl 1390.33033

MSC:  33D15 11A55 30B70
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### Cluster algebras and continued fractions. (English)Zbl 1437.13033

MSC:  13F60 11A55 30B70
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### Rigorous effective bounds on the Hausdorff dimension of continued fraction Cantor sets: A hundred decimal digits for the dimension of $$E_{2}$$. (English)Zbl 1386.30039

MSC:  30E10 28A78 30B70
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### Vertices of paths of minimal lengths on suborbital graphs. (English)Zbl 07382489

MSC:  11F06 40A15 30B70
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### Development of $$N$$-multiple power series into $$N$$-dimensional regular $$C$$-fraction. (Ukrainian, English)Zbl 1449.30005

MSC:  30B70 40A15

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### Quasi associated continued fractions and Hankel determinants of Dixon elliptic functions via Sumudu transform. (English)Zbl 1412.33032

MSC:  33E05 30B70 44A10
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MSC:  30B70

### On one analogue of the method of fundamental inequalities for the study of convergence of branched continued fractions of a special form. (Ukrainian. English summary)Zbl 1413.30017

MSC:  30B70 41A30

### Continued fractions. Bibliographic index. With CD-ROM. 4th edition. (Непрерывные дроби. Библиографический указатель.) (Russian)Zbl 1390.00014

Rostov-on-Don: Izd. Yuzhnogo Federal’nogo Universiteta. 381 p. (2017).

MSC:  30B70

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### New theorems on explicit evaluation of a parameter of Ramanujan’s $$\chi(q)$$ function. (English)Zbl 1390.30050

MSC:  30E99 30B70
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### On the Van Vleck theorem for limit-periodic continued fractions of general form. (English. Russian original)Zbl 1394.30001

Proc. Steklov Inst. Math. 298, 68-93 (2017); translation from Tr. Mat. Inst. Steklova 298, 75-100 (2017).
MSC:  30B70 40A15
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### Relations between the orthogonal matrix polynomials on $$[a,b]$$, Dyukarev-Stieltjes parameters, and Schur complements. (English)Zbl 1407.30016

MSC:  30E05 47A56 30B70
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### On certain continued fraction representation for ratio of poly-basic hypergeometric series. (English)Zbl 1378.33003

MSC:  33C05 30B70

### Some polynomials related to Dowling lattices and $$\mathrm{x}$$-Stieltjes moment sequences. (English)Zbl 1370.05008

MSC:  05A10 05A20 30B70
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### A summation formula for divergent continued fractions. (English. Russian original)Zbl 1381.40006

Dokl. Math. 95, No. 3, 240-242 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 474, No. 4, 410-412 (2017).
MSC:  40A15 30B70 11A55
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### Convergence criterion for branched contnued fractions of the special form with positive elements. (English)Zbl 1370.40003

MSC:  40A15 30B70
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### Solution of systems of linear algebraic equations by continued fractions. (Решение систем линейных алгебраических уравнений непрерывными дробями.) (Russian)Zbl 1377.40001

Rostov-on-Don: Izd. Yuzhnogo Federal’nogo Universiteta. 382 p. (2017).

### Cauchy’s mean value theorem and continued fractions. (English. Russian original)Zbl 1372.30004

Russ. Math. Surv. 72, No. 1, 182-184 (2017); translation from Usp. Mat. Nauk 72, No. 1, 195-196 (2017).
MSC:  30B70 40A15
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### Some properties of approximates for branched continued fraction of a special form with nonpositive partial numerators. (Ukrainian. English summary)Zbl 1374.40002

MSC:  40A15 30B70
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### Lower bound on the Hausdorff dimension of a set of complex continued fractions. (English)Zbl 1362.30003

MSC:  30B70 28A78
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### On the modular relations and dissections for a continued fraction of order sixteen. (English)Zbl 1409.11006

MSC:  11A55 30B70
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### The parabola theorem on continued fractions. (English)Zbl 1364.30006

MSC:  30B70 40A15 30F45
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### A Worpitzky boundary theorem for branched continued fractions of the special form. (English)Zbl 1401.40005

MSC:  40A15 30B70
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### Continued fractions. Bibliographic index. 3rd revised edition. (Непрерывные дроби. Библиографический указатель.) (Russian)Zbl 1353.00001

Rostov-on-Don: Izd. Yuzhnogo Federal’nogo Universiteta. 350 p. (2016).

### An analog of Gonchar’s theorem for the $$m$$-point version of Leighton’s conjecture. (English. Russian original)Zbl 1367.30004

Proc. Steklov Inst. Math. 293, 127-139 (2016); translation from Tr. Mat. Inst. Steklova 293, 133-145 (2016).
MSC:  30B70 11A55 40A15
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