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BEGIN:VEVENT
SUMMARY:Hanaa M. Zayed (Menoufeya University)
DTSTART;VALUE=DATE-TIME:20201109T150000Z
DTEND;VALUE=DATE-TIME:20201109T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T151453Z
UID:MathAnalysisCairo/1
DESCRIPTION:Title: Subordination and superordination preserving properties
for families of integral operators for meromorphic functions\nby Hanaa M.
Zayed (Menoufeya University) as part of سمينار التحليل ال
رياضي وتطبيقاته\n\nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sahar Hamdy (Beni Suef University)
DTSTART;VALUE=DATE-TIME:20201116T150000Z
DTEND;VALUE=DATE-TIME:20201116T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T151453Z
UID:MathAnalysisCairo/2
DESCRIPTION:Title: Generalization of q-Bernoulli polynomials generated by
Jackson q-Bessel functions\nby Sahar Hamdy (Beni Suef University) as part
of سمينار التحليل الرياضي وتطبيقاته\n\nAbstra
ct: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gamila El Sayed (Suez University)
DTSTART;VALUE=DATE-TIME:20201123T150000Z
DTEND;VALUE=DATE-TIME:20201123T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T151453Z
UID:MathAnalysisCairo/3
DESCRIPTION:Title: New indefinite q-integral equations from a method using
q-Riccati equations\nby Gamila El Sayed (Suez University) as part of سم
ينار التحليل الرياضي وتطبيقاته\n\nAbstract: TBA
\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ahmed Moustafa (Western Sydney University)
DTSTART;VALUE=DATE-TIME:20201130T080000Z
DTEND;VALUE=DATE-TIME:20201130T090000Z
DTSTAMP;VALUE=DATE-TIME:20210124T151453Z
UID:MathAnalysisCairo/4
DESCRIPTION:Title: The Computational and Cognitive Neuropsychology of Park
inson’s Disease\nby Ahmed Moustafa (Western Sydney University) as part o
f سمينار التحليل الرياضي وتطبيقاته\n\nAbstrac
t: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mourad Ismail (University of Central Florida)
DTSTART;VALUE=DATE-TIME:20201207T150000Z
DTEND;VALUE=DATE-TIME:20201207T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T151453Z
UID:MathAnalysisCairo/5
DESCRIPTION:Title: Fractional Integrals and semigroups and their q-analogu
es (I)\nby Mourad Ismail (University of Central Florida) as part of سمي
نار التحليل الرياضي وتطبيقاته\n\n\nAbstract\nTit
le : Overview of fractional calculus and semigroups.\n\nAbstract : We give
an overview of the classical fractional calculus and their applications.
The theory of semigroups is central to our treatment.\n\nThis talk will be
in English.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mourad Ismail (University of Central Florida)
DTSTART;VALUE=DATE-TIME:20201214T150000Z
DTEND;VALUE=DATE-TIME:20201214T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T151453Z
UID:MathAnalysisCairo/6
DESCRIPTION:Title: Fractional Integrals and semigroups and their q-analogu
es (II)\nby Mourad Ismail (University of Central Florida) as part of سم
ينار التحليل الرياضي وتطبيقاته\n\n\nAbstract\nI
n the second lecture\, we introduce three one parameter semigroups of oper
ators and determine their spectra. Two of them are fractional integrals as
sociated with the Askey--Wilson operator. We also study these families a
s families of positive linear approximation operators. Applications includ
e connection relations and bilinear formulas for the Askey--Wilson polyno
mials. We also introduce a q-Gauss--Weierstrass transform and prove a repr
esentation and inversion theorem for it.\n\nThis lecture is in English.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tarek Sayed-Ahmed (Cairo University)
DTSTART;VALUE=DATE-TIME:20201221T150000Z
DTEND;VALUE=DATE-TIME:20201221T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T151453Z
UID:MathAnalysisCairo/7
DESCRIPTION:Title: Applications of the Baire Category Theorem in Logic and
Set theory\nby Tarek Sayed-Ahmed (Cairo University) as part of سمينا
ر التحليل الرياضي وتطبيقاته\n\n\nAbstract\nLet 2 <
n < ω. We study omitting types theorems (OTTs) for Ln\, which is first o
rder logic restricted to the first n variables. Our positive results conce
rning OTTs in Ln that allow quantifier elimination depend on a result of S
helah’s in Classification (Stability) Theory. We obtain\, using a famous
Theorem of Burgess from Descriptive Set Theory\, the same possibilities i
n Morley’s Theorem\, the best known general result to the still unsettle
d Vaught’s conjecture\, namely\, ≤ ℵ0 or ℵ1 or 2^{ℵ0}. \n\nAn e
xample is given for an unstable countable atomic theory T having continuum
many models but only one model omitting a countable given family of non-p
rincipal types\, namely the atomic countable model. We use extensively the
Baire Category Theorem in Polish spaces and another equally famous theore
m from Descriptive Set Theory on the hierarchy of analytic sets in R. We s
how that Martin’s axiom restricted to countable Boolean algebras is equi
valent (in ZF which is ZFC without choice) to the celebrated Baire Categor
y Theorem for Polish spaces\, when we replace "countable union" by "less t
han 2^{ℵ0}"\; deducing the independency of a form of the Baire Category
Theorem from ZFC.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Seham El Mekhlafi (Cairo University)
DTSTART;VALUE=DATE-TIME:20201228T150000Z
DTEND;VALUE=DATE-TIME:20201228T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T151453Z
UID:MathAnalysisCairo/8
DESCRIPTION:Title: Optimal Control for Fractional Order Epidemic Mathemati
cal Models: Numerical Approach\nby Seham El Mekhlafi (Cairo University) as
part of سمينار التحليل الرياضي وتطبيقاته\n\n
\nAbstract\nRecently\, the mathematical models can be considered as a succ
essfully powerful tool to simulate dynamics of the spread and control the
infectious diseases . Also\, the fractional order models are more suitable
to describe the biological phenomena with memory than integer order model
s. In this talk\, a novel mathematical model for Malaria disease of fracti
onal order with modified parameters is presented. The fractional derivativ
e is defined in the Atangana-Baleanu-Caputo sense. The suggested model is
ruled by fourteen nonlinear fractional order differential equations. The o
ptimal control of the suggested model is the main objective of this talk.
Two control variables are presented in this model to minimize the number o
f infected population. Necessary control conditions are derived. Two schem
es are constructed to simulate the proposed optimal control system. In ord
er to validate the theoretical results numerical simulations and comparati
ve studies are given.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joao Morais (ITAM)
DTSTART;VALUE=DATE-TIME:20210104T150000Z
DTEND;VALUE=DATE-TIME:20210104T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T151453Z
UID:MathAnalysisCairo/9
DESCRIPTION:Title: A Bloch-type theorem for monogenic quaternion-valued fu
nctions\nby Joao Morais (ITAM) as part of سمينار التحليل ال
رياضي وتطبيقاته\n\n\nAbstract\nBloch's (1924) classical theo
rem asserts that if $f$ is a holomorphic function on a region that contain
s the closed unit disk $|z| \\leq 1$ such that $f(0) = 0$ and $|f'(0)| = 1
$\, then the image domain contains discs of radius $\\frac{3}{2}-\\sqrt{2}
> \\frac{1}{12}$. The optimal value is known as Bloch's constant and $\\f
rac{1}{12}$ is not the best possible. In this talk\, we give a generalizat
ion of Bloch's theorem to the three-dimensional Euclidean space in the fra
mework of quaternion analysis. We compute explicitly a lower bound for the
Bloch constant.\n\nThis talk is in English.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tarek Elgindi (Duke University)
DTSTART;VALUE=DATE-TIME:20210111T150000Z
DTEND;VALUE=DATE-TIME:20210111T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T151453Z
UID:MathAnalysisCairo/10
DESCRIPTION:Title: Remarks on the 2d Euler equation\nby Tarek Elgindi (Duk
e University) as part of سمينار التحليل الرياضي وتط
بيقاته\n\n\nAbstract\nThe Euler equation is a classical partial diff
erential equation modelling ideal fluids. It is also one of the first PDE'
s ever written. Despite this\, the dynamics of solutions still remains elu
sive. I will give some introductory remarks about stationary solutions to
the 2D Euler equation.\n\n(This talk is in English)\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Emanuel Carneiro (ICTP)
DTSTART;VALUE=DATE-TIME:20210118T150000Z
DTEND;VALUE=DATE-TIME:20210118T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T151453Z
UID:MathAnalysisCairo/11
DESCRIPTION:Title: Fourier optimization and number theory\nby Emanuel Carn
eiro (ICTP) as part of سمينار التحليل الرياضي وتطب
يقاته\n\n\nAbstract\nThis is a talk about three problems in the inter
face of harmonic analysis and analytic number theory\, having the Riemann
hypothesis in the background. It is going to be a light conversation\, acc
essible to a broad audience.\n\n(This talk is in English).\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Omar Mohsen (University of Münster)
DTSTART;VALUE=DATE-TIME:20210125T150000Z
DTEND;VALUE=DATE-TIME:20210125T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T151453Z
UID:MathAnalysisCairo/12
DESCRIPTION:Title: New class of hypoelliptic differential operators\nby Om
ar Mohsen (University of Münster) as part of سمينار التحليل
الرياضي وتطبيقاته\n\n\nAbstract\nA hypoelliptic differenti
al operator is a differential operator whose abstract distributional solut
ions are necessarily smooth. I will start with a brief introduction of hyp
oelliptic operators and the various methods to ensure hypoellipticity. The
n I will present a new criterion which ensures hypoellipticity which gener
alizes previous criteria by many authors. The starting point is Hormander'
s sum of squares theorem and Folland and Stein's idea to equip differentia
l operators with an ordering different from the stand ordering. This is ba
sed on joint work with Androulidakis\, Van-Erp\, Yuncken.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kathy Driver (University of Cape Town)
DTSTART;VALUE=DATE-TIME:20210201T150000Z
DTEND;VALUE=DATE-TIME:20210201T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T151453Z
UID:MathAnalysisCairo/13
DESCRIPTION:Title: Roots of Laguerre polynomials\nby Kathy Driver (Univers
ity of Cape Town) as part of سمينار التحليل الرياضي و
تطبيقاته\n\n\nAbstract\nThe Fundamental Theorem of Algebra (1608-1
806) states that every non-zero\, single-variable\, degree $n$ polynomial
with complex coefficients has\, counted with multiplicity\, exactly n com
plex roots. The properties (location\, multiplicity\,...) of the roots
of "classical" orthogonal polynomials (solutions of important second order
differential equations) have been extensively studied and have important
properties. The roots of orthogonal polynomials are real and distinct (sim
ple) and lie in the interval of orthogonality. Further\, the roots of poly
nomials of consecutive degree $n$ and $n-1$ in any orthogonal sequence $\\
{p_{n}(x)\\}_{n=0}^{\\infty}\,$ deg $p_n = n\,$ are interlacing in the se
nse that exactly one root of $p_{n-1}(x)$ lies between each pair of consec
utive roots of $p_{n}(x)$ for each $n \\in \\mathbb{N}\,$ $n \\geq 2.$ Th
is classical result (Chebyshev\, Markov\, Stieltjes) plays an important r
ole in Gauss quadrature. \n\n\nThe sequence of Laguerre polynomials $\\{
L_{n}^{(\\alpha)}(x)\\}_{n=0}^{\\infty}\,$ $\\alpha > -1\,$ is orthogonal
on $(0\,\\infty)$ with respect to the weight function $ e^{-x} x^{\\alpha
}.$ It is known (D-Muldoon 2014) that for each $n \\in \\mathbb{N}\,$ the
roots of $L_{n}^{(\\alpha)}(x)$ and $L_{n-1}^{(\\alpha +t)}(x)\,$ are i
nterlacing for $0 \\leq t \\leq 2$ and the $t-$ interval $0 < t \\leq 2$
is sharp in order for interlacing to hold for every $ n \\in \\mathbb{N}.$
Using a sharp interlacing result due to Palmai for zeros of Bessel func
tions\, it was proved in (D-Muldoon 2020) that\, for each $n \\in \\math
bb{N}\,$ the roots of the equal degree Laguerre polynomials $L_{n}^{(\\alp
ha)}(x)$ and $L_{n}^{(\\alpha +t)}(x)$ are interlacing for each $t$ with
$0 < t \\leq 2$ and the $t-$ interval $0 < t \\leq 2$ is sharp in order f
or interlacing to hold for every $n \\in \\mathbb{N}.$ \n\nHere\, we consi
der the simplest cases of a question raised by Alan Sokal at OPSFA 2019: W
hat can we say about the interlacing of roots of the Laguerre polynomials
$L_{n}^{(\\alpha)}(x)$ and $L_{n+1}^{(\\alpha +1)}(x)$ where $\\alpha >-1
?$ We also prove that there is partial (sometimes full) interlacing of r
oots of $L_{n}^{(\\alpha)}(x)$ and $ L_{n}^{(\\alpha +3)}(x)\,$ $\\alpha
>-1.$\n\nThis is joint work with Jorge Arvesu Carballo and Lance Littlejo
hn.\n\n(This talk is in English).\n
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