18 research outputs found

    On certain classes of univalent meromorphic functions associated with integral operators

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    This paper illustrates how some inclusion relationships of certain class of univalent meromorphic functions may be defined by using the linear operator. Further, a property preserving integrals is considered for the final outcome of the study.Publisher's Versio

    On a certain subclass of meromorphic univalent functions with fixed second positive coefficients

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    In the present paper, we consider the subclass of meromorphic univalent functions S<SUB>p</SUB><SUP>*</SUP>[k,α,β,c] with fixed second positive coefficient. The object of the present paper is to show coefficient estimates, onvex liner combinations, some distortion theorems, and redii of star likeness and convexity for f(z) in the class S<SUB>p</SUB><SUP>*</SUP>[k,α,β,c]

    Inclusion Properties on a Class of Meromorphic Functions Defined by a Linear Operator

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    In the present paper, we study a certain class of meromorphic univalent functions f(z) dened by the linear operator L(α,β) f (z). The aim of the present paper is to prove some properties for the class Σα,β,kλ;(h) to satisfy the certain subordination.AMS Subject Classication: 30C4

    On a Certain Subclass of Meromorphic Functions Defined by a New Linear Differential Operator

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    In this article, a new linear differential operator I^k (L_s^a (a_l,b_m )f(z)) is defined by using the Hadamard product of the q-hypergeometric function and a function related to the Hurwitz-Lerch zeta function. By using this linear differential operator, a new subclass L_(s,a)^(k,*) (α_l,β_m;A,B,b) of meromorphic functions is defined. Some properties and characteristics of this subclass are considered. These include the coefficient inequalities, the growth and distortion properties and the radii of meromorphic starlikeness and meromorphic convexity. Finally, closure theorems and extreme points are introduced

    A certain subclass of univalent meromorphic functions defined by a linear operator associated with the Hurwitz-Lerch zeta function

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    In this paper, we study a linear operator related to Hurwitz-Lerch zeta function and hypergeometric function in the punctured unit disk. A certain subclass of meromorphically univalent functions associated with the above operator defined by the concept of subordination is also introduced, and its characteristic properties are studied

    Improved throughput of Elliptic Curve Digital Signature Algorithm (ECDSA) processor implementation over Koblitz curve k-163 on Field Programmable Gate Array (FPGA)

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    يقـدم البحث دراسة عن تصميم وتنفيذ دائرة الكترونية لتوليد التوقيع الالكتروني والتاكد من صحته ,بالاعتماد على مواصفات المنحني الاهليجي الموصى بها من &nbsp;قبل المعهد الوطني للمعايير والتكنولوجيا(NIST) .حيث أرتكز العمل على إختيار منحني كوبلتز وتطبيقه على الحقول المنتهية أو ما تسمى بحقول غالو(2163)GF، ونظراً لأهمية تحسين الأداء في المعالجات الحديثة المبنية في بيئة البوابات المنطقية القابلة للبرمجة (FPGA)،&nbsp; فقد أظهرت نتائج المحاكاة والتنفيذ للتصميم المقترح على الجهاز نوع Virtex5-xc5vlx155t-3ff1738&nbsp; زيادة في معدل البيانات التي يتم معالجتها اثناء عمليتي توليد التوقيع واثبات صحته الى 0.08187 Mbit/s وبنسبة تصل الى 6.95% ,بالمقارنة مع التصميمات السابقة ، كما أستغرقت مدة تنفيذ العمليتين 1.66 ملي ثانية وبتردد أقصاه 83.477 ميكاهرتز. تم الاخذ بنظرالاعتبار تصميم المنفذ التسلسلي غير المتزامن (UART) والمستخدم في عملية نقل البيانات بين الحاسبة وFPGA .&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; The widespread use of the Internet of things (IoT) in different aspects of an individual’s life like banking, wireless intelligent devices and smartphones has led to new security and performance challenges under restricted resources. The Elliptic Curve Digital Signature Algorithm (ECDSA) is the most suitable choice for the environments due to the smaller size of the encryption key and changeable security related parameters. However, major performance metrics such as area, power, latency and throughput are still customisable and based on the design requirements of the device. The present paper puts forward an enhancement for the throughput performance metric by proposing a more efficient design for the hardware implementation of ECDSA. The design raised the throughput to 0.08207 Mbit/s, leading to an increase of 6.95% from the existing design. It also includes the design and implementation of the Universal Asynchronous Receiver Transmitter (UART) module. The present work is based on a 163-bit key-size over Koblitz curve k-163 and secure hash function SHA-1. A serial module for the underlying modular layer, high-speed architecture of Koblitz point addition and Koblitz point multiplication have been considered in this work, in addition to utilising the carry-save-multiplier, modular adder-subtractor and Extended Euclidean module for ECDSA protocols. All modules are designed using VHDL and implemented on the platform Virtex5 xc5vlx155t-3ff1738. Signature generation requires 0.55360ms, while its validation consumes 1.10947288ms. Thus, the total time required to complete both processes is equal to 1.66ms and the maximum frequency is approximately 83.477MHZ, consuming a power of 99mW with the efficiency approaching 3.39 * 10-6

    A New Class of Meromorphically Analytic Functions with Applications to the Generalized Hypergeometric Functions

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    We introduce a new subclass of meromorphically analytic functions, which is defined by means of a Hadamard product (or convolution). A characterization property such as the coefficient bound is obtained for this class. The other related properties, which are investigated in this paper, include the distortion and the radius of starlikeness. We also consider several applications of our main results to the generalized hypergeometric functions

    On a certain subclass of meromorphic univalent functions with fixed second . . .

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    In the present paper, we consider the subclass of meromorphic univalent function

    On new subclass of analytic functions with respect to symmetric points

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    summary:In the present paper, we obtain coefficient estimates for new subclass of analytic functions with respect to symmetric points. A sufficient condition for a function to belong to this class of function is also obtained

    New subclass of multivalent functions

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    In this paper we introduce a new subclass M * (α,β,γ,A,λ,ρ)consisting of analytic and multivalent functions with negative coefficients. The object of the paper is to show some properties for the subclass M * (α,β,γ,A,λ,ρ
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