Results 21 to 30 of about 7,023 (242)

Finiteness of meromorphic functions on an annulus sharing four values regardless of multiplicity [PDF]

Mathematica Bohemica, 2020
This paper deals with the finiteness problem of meromorphic funtions on an annulus sharing four values regardless of multiplicity. We prove that if three admissible meromorphic functions $f_1$, $f_2$, $f_3$ on an annulus $\mathbb A({R_0})$ share four ...
Duc Quang Si, An Hai Tran
doaj   +1 more source

Characteristic estimation of differential polynomials

Journal of Inequalities and Applications, 2021
In this paper, we give the characteristic estimation of a meromorphic function f with the differential polynomials f l ( f ( k ) ) n $f^{l}(f^{(k)})^{n}$ and obtain that T ( r , f ) ≤ M N ‾ ( r , 1 f l ( f ( k ) ) n − a ) + S ( r , f ) $$\begin{aligned ...
Min-Feng Chen, Zhi-Bo Huang
doaj   +1 more source

Aspects of the screw function corresponding to the Riemann zeta‐function

Journal of the London Mathematical Society, Volume 108, Issue 4, Page 1448-1487, October 2023., 2023
Abstract We introduce a screw function corresponding to the Riemann zeta‐function and study its properties from various aspects. Typical results are several equivalent conditions for the Riemann hypothesis in terms of the screw function. One of them can be considered an analog of so‐called Weil's positivity or Li's criterion.
Masatoshi Suzuki
wiley   +1 more source

Association of the CHEK2 c.1100delC variant, radiotherapy, and systemic treatment with contralateral breast cancer risk and breast cancer‐specific survival

Cancer Medicine, Volume 12, Issue 15, Page 16142-16162, August 2023., 2023
Abstract Background Breast cancer (BC) patients with a germline CHEK2 c.1100delC variant have an increased risk of contralateral BC (CBC) and worse BC‐specific survival (BCSS) compared to non‐carriers. Aim To assessed the associations of CHEK2 c.1100delC, radiotherapy, and systemic treatment with CBC risk and BCSS. Methods Analyses were based on 82,701
Anna Morra, Maartje A. C. Schreurs, Irene L. Andrulis, Hoda Anton‐Culver, Annelie Augustinsson, Matthias W. Beckmann, Sabine Behrens, Stig E. Bojesen, Manjeet K. Bolla, Hiltrud Brauch, Annegien Broeks, Saundra S. Buys, Nicola J. Camp, Jose E. Castelao, Melissa H. Cessna, Jenny Chang‐Claude, Wendy K. Chung, NBCS Collaborators, Kristine K. Sahlberg, Anne‐Lise Børresen‐Dale, Inger Torhild Gram, Karina Standahl Olsen, Olav Engebråten, Bjørn Naume, Jürgen Geisler, OSBREAC, Grethe I. Grenaker Alnæs, Sarah V. Colonna, Fergus J. Couch, Angela Cox, Simon S. Cross, Kamila Czene, Mary B. Daly, Joe Dennis, Peter Devilee, Thilo Dörk, Alison M. Dunning, Miriam Dwek, Douglas F. Easton, Diana M. Eccles, Mikael Eriksson, D. Gareth Evans, Peter A. Fasching, Tanja N. Fehm, Jonine D. Figueroa, Henrik Flyger, Marike Gabrielson, Manuela Gago‐Dominguez, Montserrat García‐Closas, José A. García‐Sáenz, Jeanine Genkinger, Felix Grassmann, Melanie Gündert, Eric Hahnen, Christopher A. Haiman, Ute Hamann, Patricia A. Harrington, Jaana M. Hartikainen, Reiner Hoppe, John L. Hopper, Richard S. Houlston, Anthony Howell, ABCTB Investigators, Christine Clarke, Deborah Marsh, Rodney Scott, Robert Baxter, Desmond Yip, Jane Carpenter, Alison Davis, Nirmala Pathmanathan, Peter Simpson, J. Dinny Graham, Mythily Sachchithananthan, kConFab Investigators, David Amor, Lesley Andrews, Yoland Antill, Rosemary Balleine, Jonathan Beesley, Ian Bennett, Michael Bogwitz, Leon Botes, Meagan Brennan, Melissa Brown, Michael Buckley, Jo Burke, Phyllis Butow, Liz Caldon, Ian Campbell, Michelle Cao, Anannya Chakrabarti, Deepa Chauhan, Manisha Chauhan, Georgia Chenevix‐Trench, Alice Christian, Paul Cohen, Alison Colley, Ashley Crook, James Cui, Eliza Courtney, Margaret Cummings, Sarah‐Jane Dawson, Anna DeFazio, Martin Delatycki, Rebecca Dickson, Joanne Dixon, Ted Edkins, Stacey Edwards, Gelareh Farshid, Andrew Fellows, Georgina Fenton, Michael Field, James Flanagan, Peter Fong, Laura Forrest, Stephen Fox, Juliet French, Michael Friedlander, Clara Gaff, Mike Gattas, Peter George, Sian Greening, Marion Harris, Stewart Hart, Nick Hayward, John Hopper, Cass Hoskins, Clare Hunt, Paul James, Mark Jenkins, Alexa Kidd, Judy Kirk, Jessica Koehler, James Kollias, Sunil Lakhani, Mitchell Lawrence, Jason Lee, Shuai Li, Geoff Lindeman, Lara Lipton, Liz Lobb, Sherene Loi, Graham Mann, Deborah Marsh, Sue Anne McLachlan, Bettina Meiser, Roger Milne, Sophie Nightingale, Shona O’Connell, Sarah O’Sullivan, David Gallego Ortega, Nick Pachter, Jia‐Min Pang, Gargi Pathak, Briony Patterson, Amy Pearn, Kelly Phillips, Ellen Pieper, Susan Ramus, Edwina Rickard, Bridget Robinson, Mona Saleh, Anita Skandarajah, Elizabeth Salisbury, Christobel Saunders, Jodi Saunus, Rodney Scott, Clare Scott, Adrienne Sexton, Andrew Shelling, Peter Simpson, Melissa Southey, Amanda Spurdle, Jessica Taylor, Renea Taylor, Heather Thorne, Alison Trainer, Kathy Tucker, Jane Visvader, Logan Walker, Rachael Williams, Ingrid Winship, Mary Ann Young, Milita Zaheed, Anna Jakubowska, Wolfgang Janni, Helena Jernström, Esther M. John, Nichola Johnson, Michael E. Jones, Vessela N. Kristensen, Allison W. Kurian, Diether Lambrechts, Loic Le Marchand, Annika Lindblom, Jan Lubiński, Michael P. Lux, Arto Mannermaa, Dimitrios Mavroudis, Anna Marie Mulligan, Taru A. Muranen, Heli Nevanlinna, Ines Nevelsteen, Patrick Neven, William G. Newman, Nadia Obi, Kenneth Offit, Andrew F. Olshan, Tjoung‐Won Park‐Simon, Alpa V. Patel, Paolo Peterlongo, Kelly‐Anne Phillips, Dijana Plaseska‐Karanfilska, Eric C. Polley, Nadege Presneau, Katri Pylkäs, Brigitte Rack, Paolo Radice, Muhammad U. Rashid, Valerie Rhenius, Mark Robson, Atocha Romero, Emmanouil Saloustros, Elinor J. Sawyer, Rita K. Schmutzler, Sabine Schuetze, Christopher Scott, Mitul Shah, Snezhana Smichkoska, Melissa C. Southey, William J. Tapper, Lauren R. Teras, Rob A. E. M. Tollenaar, Katarzyna Tomczyk, Ian Tomlinson, Melissa A. Troester, Celine M. Vachon, Elke M. van Veen, Qin Wang, Camilla Wendt, Hans Wildiers, Robert Winqvist, Argyrios Ziogas, Per Hall, Paul D. P. Pharoah, Muriel A. Adank, Antoinette Hollestelle, Marjanka K. Schmidt, Maartje J. Hooning   +249 more
wiley   +1 more source

Interval estimation on hyper-order of meromorphic solutions of complex linear differential equations with uncertain coefficients

Applied Mathematics in Science and Engineering, 2023
The authors address the complex oscillation problems of all solutions of homogenous linear differential equations with meromorphic coefficients. Sufficient conditions for estimating the growth of meromorphic solution with infinite order have been ...
Zhongwei He, Lingyun Gao
doaj   +1 more source

Composition operators on weighted Hilbert spaces of Dirichlet series

Journal of the London Mathematical Society, Volume 108, Issue 2, Page 837-868, August 2023., 2023
Abstract We study composition operators of characteristic zero on weighted Hilbert spaces of Dirichlet series. For this purpose, we demonstrate the existence of weighted mean counting functions associated with the Dirichlet series symbol, and provide a corresponding change of variables formula for the composition operator.
Athanasios Kouroupis, Karl‐Mikael Perfekt   +1 more
wiley   +1 more source

Which neural networks can be computed by an algorithm? – Generalised hardness of approximation meets Deep Learning

PAMM, Volume 22, Issue 1, March 2023., 2023
Abstract Classical hardness of approximation (HA) is the phenomenon that, assuming P ≠ NP, one can easily compute an ϵ‐approximation to the solution of a discrete computational problem for ϵ > ϵ0 > 0, but for ϵ < ϵ0 – where ϵ0 is the approximation threshold – it becomes intractable. Recently, a similar yet more general phenomenon has been documented in
Laura Thesing, Anders C. Hansen
wiley   +1 more source

Value distribution of exponential polynomials and their role in the theories of complex differential equations and oscillation theory

Bulletin of the London Mathematical Society, Volume 55, Issue 1, Page 1-77, February 2023., 2023
Abstract An exponential polynomial is a finite linear sum of terms P(z)eQ(z)$P(z)e^{Q(z)}$, where P(z)$P(z)$ and Q(z)$Q(z)$ are polynomials. The early results on the value distribution of exponential polynomials can be traced back to Georg Pólya's paper published in 1920, while the latest results have come out in 2022.
Janne Heittokangas, Katsuya Ishizaki, Kazuya Tohge, Zhi‐Tao Wen   +3 more
wiley   +1 more source

Limit Directions of Julia Sets of Entire Functions and Complex Differential Equations

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
The limiting directions of Julia sets of infinite order entire functions are studied by combining the theory of complex dynamic system and the theory of complex differential equations, in which the lower bound of the measure of limiting direction of Julia set of entire solutions of complex differential equations is obtained.
Zhigao Qin, Jianren Long, Xuxu Xiang, Ljubisa Kocinac   +3 more
wiley   +1 more source

Results on Solutions for Several Systems of Partial Differential‐Difference Equations with Two Complex Variables

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
This article is to describe the entire solutions of some partial differential‐difference equations and systems. Some theorems about the forms of transcendental entire solutions with finite order for several high‐order partial differential‐difference equations (or systems) of the Fermat type with two complex variables are obtained.
Yuxian Chen, Libing Xie, Hongyan Xu, Kenan Yildirim   +3 more
wiley   +1 more source