## Found 190 Documents (Results 1–100)

### Differential polynomials generated by solutions of second order non-homogeneous linear differential equations.(English)Zbl 1496.34129

MSC:  34M10 30D35
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### On transcendental meromorphic solutions of a certain type of nonlinear complex differential equations.(Chinese. English summary)Zbl 07594602

MSC:  34M05 34A34 30D35
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### Preservation of classes of entire functions defined in terms of growth restrictions along the real axis under perturbations of their zero sets.(English. Russian original)Zbl 1501.30009

St. Petersbg. Math. J. 33, No. 4, 585-606 (2022); translation from Algebra Anal. 33, No. 4, 1-31 (2021).
MSC:  30D15 30C15
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### On Bernstein type inequalities for complex polynomial.(English)Zbl 1493.30013

MSC:  30C10 30D15 30A10
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### On the Erdős-Lax and Turán inequalities concerning polynomials.(English)Zbl 1492.30004

MSC:  30A10 30C10 30D15
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### Integral-norm estimates for the polar derivative of a polynomial.(English)Zbl 1486.30019

MSC:  30C10 30D15 30A10
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### A note on the zeros of approximations of the Ramanujan $$\Xi$$-function.(English)Zbl 1483.11184

MSC:  11M26 30D10
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### Sharpening of Bernstein and Turán-type inequalities for polynomials.(English)Zbl 1499.30014

MSC:  30A10 30C10 30D15
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### Some notices on zeros and poles of meromorphic functions in a unit disk from the classes defined by the arbitrary growth majorant.(Ukrainian. English summary)Zbl 1499.30302

MSC:  30E05 30D15
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### On Bernstein-type inequalities for rational functions with prescribed poles.(English)Zbl 1499.30008

MSC:  30A10 30C10 30D15
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### Generalizations and sharpenings of certain Bernstein and Turán types of inequalities for the polar derivative of a polynomial.(English)Zbl 1483.30025

MSC:  30C10 30D15 30A10
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### The fundamental theorem of algebra and Liouville’s theorem geometrically revisited.(English)Zbl 1483.30027

MSC:  30C15 30D20 53C20
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### Bernstein and Turán-type inequalities for a polynomial with constraints on its zeros.(English)Zbl 1469.30001

MSC:  30A10 30C10 30D15
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### Entire solutions for the heat equation.(English)Zbl 1471.35015

MSC:  35B08 35K05
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### On the derivative of a polynomial.(English)Zbl 1474.30008

MSC:  30A10 30C10 30D15
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### Some refinements of inequalities for polynomials.(English)Zbl 1488.30005

MSC:  30A10 30D15 26C10

### Some inequalities for self-inversive rational functions with prescribed poles.(English)Zbl 1474.30010

MSC:  30A10 30C10 30D15
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### On Bernstein-type inequalities for polynomials involving the polar derivative.(English)Zbl 1474.30007

MSC:  30A10 30C10 30D15
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### On the dynamics of the zeros of solutions of the Airy equation.(English)Zbl 07318080

MSC:  33Cxx 30Cxx 65Lxx
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### Expressions of meromorphic solutions of a certain type of nonlinear complex differential equations.(English)Zbl 1456.30057

MSC:  30D35 34A34 34M05
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### Generalizations of Bernstein and Turán-type inequalities for the polar derivative of a complex polynomial.(English)Zbl 1435.30006

MSC:  30A10 30C10 30D15
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### Properties of complex oscillation of solutions of a class of higher order linear differential equations.(English)Zbl 1433.34115

MSC:  34M10 30D35 34M03
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### Some $$L^s$$ inequalities for polynomials not vanishing inside a circle.(English)Zbl 1450.30013

MSC:  30C10 30D15 30A10
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### On Zygmund-type inequalities involving polar derivative of a lacunary-type polynomial.(English)Zbl 1463.30002

MSC:  30A10 30D15

### Localization of zeros in Cauchy-de Branges spaces.(English)Zbl 1436.30022

Aleman, Alexandru (ed.) et al., Analysis of operators on function spaces. The Serguei Shimorin memorial volume. Including extended versions of lectures of the conference in honor of the memory of Serguei Shimorin at the Mittag-Leffler Institute, Stockholm, Sweden in the summer of 2018. Cham: Springer. Trends Math., 5-27 (2019).
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### On exact transcendental meromorphic solutions of nonlinear complex differential equations.(English)Zbl 1428.30038

MSC:  30D35 34M05

### A note on meromorphic solutions of complex differential-difference equations.(English)Zbl 1421.34060

MSC:  34M05 34M10 30D35
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### Further results on transcendental meromorphic solutions of some certain types of nonlinear differential equations.(Chinese. English summary)Zbl 1424.34308

MSC:  34M05 30D05 30D35

### Baker’s conjecture for functions with real zeros.(English)Zbl 1407.30009

MSC:  30D05 30D20 37F10
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### On transcendental meromorphic solutions of certain types of nonlinear differential equations.(English)Zbl 1391.34138

MSC:  34M05 30D35

### $$L^q$$ inequalities for the $$s$$th derivative of a polynomial.(English)Zbl 1387.30002

MSC:  30A10 30C10 30D15
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### Radii of starlikeness and convexity of a cross-product of Bessel functions.(English)Zbl 1387.30006

MSC:  30C45 33C10
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### Meromorphic solutions of complex differential-difference equations.(English)Zbl 1387.34121

MSC:  34M05 30D35 34M10
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### On the hyper-order of solutions of nonhomogeneous linear differential equations.(English)Zbl 1383.34102

MSC:  34M10 30D35 34M03
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### Growth and zeros of meromorphic solutions to second-order linear differential equations.(English)Zbl 1380.34127

MSC:  34M10 34M05 30D35
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### On the order of growth of solutions to complex non-homogeneous linear differential equations.(English)Zbl 1372.34133

MSC:  34M10 30D35
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### Fibonacci-Mandelbrot polynomials and matrices.(English)Zbl 1368.37050

MSC:  37F10 37F45 30C15
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### One helpful property of functions generating Pólya frequency sequences.(English)Zbl 1361.30008

MSC:  30C15 30D15 30D05
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### Zeros of solutions of certain higher order homogeneous linear differential equations.(Chinese. English summary)Zbl 1363.30057

MSC:  30D20 30D35 34M03

### Starlikeness of a cross-product of Bessel functions.(English)Zbl 1348.33003

MSC:  33C10 30C45
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### Distribution of zeroes of Rademacher Taylor series.(English. French summary)Zbl 1352.30001

MSC:  30B20 30D20 30C15
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### Close-to-convexity of normalized Dini functions.(English)Zbl 1355.33005

MSC:  33C10 30C45
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### On the result of invariance of the closure set of the real projections of the zeros of an important class of exponential polynomials.(English)Zbl 1353.30029

MSC:  30D15 30C15
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### Starlikeness of Bessel functions and their derivatives.(English)Zbl 1336.33011

MSC:  33C10 30C45
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### On the non-isolation of the real projections of the zeros of exponential polynomials.(English)Zbl 1332.30015

MSC:  30C15 30D20
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### On the iterated exponent of convergence of solutions of linear differential equations.(English)Zbl 1380.34128

MSC:  34M10 30D35 34M05
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### Hyper-order and fixed points of meromorphic solutions of higher order non-homogeneous linear differential equations.(English)Zbl 1453.34110

MSC:  34M10 34M05 30D35

### On the topology of the sets of the real projections of the zeros of exponential polynomials.(English)Zbl 1318.30043

Ferrando, Juan Carlos (ed.) et al., Descriptive topology and functional analysis. In honour of Jerzy Kąkol’s 60th birthday. Proceedings of the 1st meeting in topology and functional analysis, Elche, Spain, September 27–28, 2013. Cham: Springer (ISBN 978-3-319-05223-6/hbk; 978-3-319-05224-3/ebook). Springer Proceedings in Mathematics & Statistics 80, 33-55 (2014).
MSC:  30D15 30C15
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### An analog of the Valiron-Goldberg theorem under a restriction condition on the averaged counting function of zeros.(English. Russian original)Zbl 1317.30037

Math. Notes 96, No. 6, 831-835 (2014); translation from Mat. Zametki 96, No. 5, 794-798 (2014).
MSC:  30D20 30C15
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### Asymptotic values of analytic functions connected with a prime end of a domain.(Russian. English summary)Zbl 1301.30031

MSC:  30D20 30C15 30E15
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### A note on the real projection of the zeros of partial sums of Riemann zeta function.(English)Zbl 1295.30017

MSC:  30C15 11M06
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### Academician Ljubomir Iliev and the classical complex analysis.(English)Zbl 1301.30001

Kiryakova, Virginia (ed.), Complex analysis and applications ’13. Proceedings of the international conference, CAA ’13, Sofia, Bulgaria, October 31 – November 2, 2013. Dedicated to the 100th anniversary of Academician Ljubomir Iliev. Sofia: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics (ISBN 978-954-8986-38-0). 10-16 (2013).
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### On properties of meromorphic solutions for complex difference equation of Malmquist type.(English)Zbl 1299.30079

MSC:  30D35 34M05 39A10
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### Oscillation of fixed points of solutions and their derivatives of some higher linear differential equations.(English)Zbl 1299.34280

MSC:  34M10 30D35 34M03

### Integral mean estimates for the polar derivative of polynomials whose zeros are within a circle.(English)Zbl 1291.30008

MSC:  30A10 30C10 30D15
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### The largest roots of the Mandelbrot polynomials.(English)Zbl 1280.37040

Bailey, David H. (ed.) et al., Computational and analytical mathematics. In Honor of Jonathan Borwein’s 60th birthday. Selected papers based on the presentations at the workshop, also known as JonFest, Simon Fraser University, BC, Canada, May 16–20, 2011. New York, NY: Springer (ISBN 978-1-4614-7620-7/hbk; 978-1-4614-7621-4/ebook). Springer Proceedings in Mathematics & Statistics 50, 305-324 (2013).
MSC:  37F10 37F45 41A60
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### On the growth of solutions of $$f''+Af'+Bf=0$$, where $$A$$ is a solution of a second order linear differential equation.(Chinese. English summary)Zbl 1289.30194

MSC:  30D35 34M10

### Growth and oscillation related to a second-order linear differential equation.(English)Zbl 1280.34089

MSC:  34M10 30D35 34M03
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### The separation of zeros of solutions of higher order linear differential equations with entire coefficients.(English)Zbl 1296.30040

MSC:  30D35 34M10
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### Limits of degenerate parabolic quadratic rational maps.(English)Zbl 1364.37105

MSC:  37F30 37F10 30D05 30C15
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### Growth of solutions to linear differential equations with entire coefficients.(English)Zbl 1291.30200

MSC:  30D35 34M05
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### Inequalities for a polynomial and its derivative.(English)Zbl 1277.30003

MSC:  30A10 30C10 30D15
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### Location of zeros of polynomials.(English)Zbl 1276.30011

MSC:  30C10 30A10 30D15
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### The method of finite-product extraction and an application to Wiener-Hopf theory.(English)Zbl 1250.30033

MSC:  30E10 30D10 33C10
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### On the growth of solutions of some higher order linear differential equations.(English)Zbl 1265.34327

MSC:  34M10 30D35 34M03
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### On the zeros of solutions of any order of derivative of second order linear differential equations taking small functions.(English)Zbl 1340.30140

MSC:  30D35 34M05
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### Maximum modulus of derivatives of a polynomial.(English)Zbl 1281.30003

MSC:  30A10 30C10 30D15
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### On the maximum modulus of a polynomial and its polar derivative.(English)Zbl 1272.30003

MSC:  30A10 30C10 30D15
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### Complex oscillation theory of differential polynomials.(English)Zbl 1244.34108

MSC:  34M10 30D35
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### Growth of polynomials having zeros inside a circle.(English)Zbl 1235.30022

MSC:  30D15 30C10 30C15
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### Generalization of a result involving maximum moduli of self-inversive polynomial and its derivative.(English)Zbl 1247.30004

MSC:  30C10 30A10 30D15
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### An introduction to complex analysis.(English)Zbl 1230.30001

Berlin: Springer (ISBN 978-1-4614-0194-0/hbk). xiv, 331 p. (2011).

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### Growth and complex oscillation of differential polynomials generated by solutions of differential equations.(English)Zbl 1263.34125

MSC:  34M10 30D35

### Growth of solutions and oscillation of differential polynomials generated by some complex linear differential equations.(English)Zbl 1201.34136

MSC:  34M10 30D35 34M03
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### On Bank-Laine functions.(English)Zbl 1161.30018

MSC:  30D35 34M05
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### On the distribution of zeros with hyper order of solutions of second order differential equations.(Chinese. English summary)Zbl 1174.34526

MSC:  34M05 30D35

### Continuity and Hausdorff dimension of Julia set concerning Yang-Lee zeros.(English)Zbl 1174.37345

MSC:  37F10 37F45
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### Newton’s method as a dynamical system: Efficient root finding of polynomials and the Riemann $$\zeta$$-function.(English)Zbl 1217.37044

Lyubich, Mikhail (ed.) et al., Holomorphic dynamics and renormalization. A volume in honour of John Milnor’s 75th birthday. Proceedings of the workshop on holomorphic dynamics, Toronto, Canada, March 7–11, 2006. Providence, RI: American Mathematical Society (AMS); Toronto: The Fields Institute for Research in Mathematical Sciences (ISBN 978-0-8218-4275-1/hbk). Fields Institute Communications 53, 213-224 (2008).

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### Problems in analytic number theory. 2nd ed.(English)Zbl 1190.11001

Graduate Texts in Mathematics 206. Readings in Mathematics. New York, NY: Springer (ISBN 978-0-387-72349-5/hbk). xxi, 502 p. (2008).

### The distribution of zeros of finite order Bank-Laine functions.(English)Zbl 1152.30028

MSC:  30D35 34M10
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### On the ’pits effect’ of Littlewood and Offord.(English)Zbl 1142.30010

MSC:  30D10 30D15 30B10
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