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Partial Differential Equations With Complex Analysis (Chapman & Hall/CRC Research Notes in Mathematics Series)

Partial Differential Equations With Complex Analysis (Pitman Research Notes in Mathematics, No 262)

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Partial Differential Equations With Complex Analysis (Chapman & Hall/CRC Research Notes in Mathematics Series)

Partial Differential Equations With Complex Analysis (Pitman Research Notes in Mathematics, No 262)

4.85 89,536 ratings · 5,585 reviews
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Overview: This collection of papers on function theory and function-theoretic methods in partial differential equations is split into three main groups of topics. The first group contains results on elliptic and some related partial differential equations which are obtained by complex analytic methods, eg. Bergman and Vekua integral operator methods, differential transformation methods, associated operators for initial value problems of Cauchy Kowalewski type, and reproducing kernels. Quaternionic analytic methods and concepts in Clifford analysis are also presented. The second group includes papers on classical complex analysis, including geometric function theory, singularities of series in special polynomials, and subharmonic functions. The last group of papers deal with the Riemann and the riemann-Hilbert boundary value problems, respectively for analytic functions, for first order elliptic equations, for pseudoparabolic equations, for an overdetermined elliptic system, and for the three dimensional counterpart of the Cauchy-Riemann system, the Moisil-Theodorescu system, and in Clifford analysis.

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Heinrich G.W. Begehr writes contemporary fiction and has always been fascinated by character-driven stories. They hold a degree in English Literature and previously worked as an editor before transitioning to writing their own books. Heinrich G.W. Begehr lives with their spouse and a very vocal rescue cat.

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Exceeded all my expectations. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I am now a lifelong fan of this author.
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Masterpiece from start to finish. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I will undoubtedly revisit this masterpiece.
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Excellent, though slightly flawed. It held my rapt attention, even when certain twists were telegraphed. Quite impressive overall.
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Exceeded all my expectations. The prose is exquisite. It’s accessible yet undeniably sophisticated. An absolute must-read for connoisseurs of the genre.
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I thoroughly enjoyed the elegance of it. It held my rapt attention, even when certain twists were telegraphed. A wonderful companion for a quiet weekend.
Robert Nelson
Robert Nelson March 15, 2025
Honestly one of the most premium reading experiences lately. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I will undoubtedly revisit this masterpiece.
Stephanie Nguyen
Stephanie Nguyen April 07, 2025
A highly sophisticated read. A brilliant concept executed with flair. Just a few pacing choices I would change. A wonderful companion for a quiet weekend.
Patricia Ramirez
Patricia Ramirez November 01, 2024
Such a rich narrative. The author orchestrated a breathtaking finale. Truly a work of art. I am now a lifelong fan of this author.
Joseph Allen
Joseph Allen April 25, 2024
Such a rich narrative. The author orchestrated a breathtaking finale. Truly a work of art. I am now a lifelong fan of this author.
Melissa Robinson
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A very strong entry. A brilliant concept executed with flair. Just a few pacing choices I would change. A solid 4 stars from me.
William Carter
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Gary Thompson May 26, 2024
Such a rich narrative. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem.
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Cynthia Martinez November 21, 2024
Such a rich narrative. The author orchestrated a breathtaking finale. Truly a work of art. I am now a lifelong fan of this author.
Matthew Lewis
Matthew Lewis August 26, 2025
Such a rich narrative. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. A true literary gem.
Stephanie Green
Stephanie Green May 11, 2025
Took a moment to build, but the payoff was spectacular. It held my rapt attention, even when certain twists were telegraphed. A very distinguished novel.
Donna Mitchell
Donna Mitchell December 11, 2024
Honestly one of the most premium reading experiences lately. I became deeply invested in the protagonist's journey. A masterclass in storytelling. A true literary gem.
Rebecca Williams
Rebecca Williams February 19, 2024
Such a rich narrative. I became deeply invested in the protagonist's journey. A masterclass in storytelling. Worth every moment spent reading.
Nicholas Clark
Nicholas Clark May 29, 2025
Such a rich narrative. I became deeply invested in the protagonist's journey. A masterclass in storytelling. An effortless 5 stars.
Michael Rodriguez
Michael Rodriguez December 03, 2024
Exceeded all my expectations. The prose is exquisite. It’s accessible yet undeniably sophisticated. I am now a lifelong fan of this author.
Donald Taylor
Donald Taylor September 13, 2024
Took a moment to build, but the payoff was spectacular. The protagonist was compelling, though some subplots felt slightly overshadowed. Quite impressive overall.
David Green
David Green November 23, 2025
A profoundly satisfying read. The author orchestrated a breathtaking finale. Truly a work of art. An absolute must-read for connoisseurs of the genre.
John Thomas
John Thomas October 07, 2025
I find myself somewhat conflicted. The tempo was somewhat languid, and I found my mind wandering. Not poor, simply average. A fair 3 stars.
Jessica Gonzalez
Jessica Gonzalez January 06, 2024
I was completely blown away. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading.
Betty Walker
Betty Walker October 28, 2025
A highly sophisticated read. It held my rapt attention, even when certain twists were telegraphed. Quite impressive overall.
Emily Collins
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I find myself somewhat conflicted. The prose was competent, yet the characters lacked the depth I usually seek. Perhaps more aligned with a different audience's tastes.
Kenneth Garcia
Kenneth Garcia November 23, 2024
I was completely blown away. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I am now a lifelong fan of this author.
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A highly sophisticated read. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. Quite impressive overall.
Nancy Phillips
Nancy Phillips March 06, 2024
Masterpiece from start to finish. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I am now a lifelong fan of this author.
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