Convexity and Monotonicity Analyses for Discrete Fractional Operators with Discrete Exponential Kernes

For discrete fractional operators with exponential kernels, positivity, monotonicity, and convexity findings are taken into consideration in this paper. Our findings cover both sequential and non-sequential scenarios and show how fractional differences with other kinds of kernels and the exponential kernel example are comparable and different. This demonstrates that the qualitative information gathered in the exponential kernel case does not match other situations perfectly

Monotonicity Results For Discrete Caputo-Fabrizio Fractional Operators

Nearly every theory in mathematics has a discrete equivalent that simplifies it theoretically and practically so that it may be used in modeling real-world issues. With discrete calculus, for instance, it is possible to find the "difference" of any function from the first order up to the n-th order. On the other hand, it is also feasible to expand this theory using discrete fractional calculus and make n any real number such that the 1⁄2-order difference is properly defined. This article is divided into five chapters, each of which develops the most straightforward discrete fractional variational theory while illustrating some fundamental concepts and features of discrete fractional calculus. It is also investigated how the idea may be applied to the development of tumors. The first section provides a succinct introduction to the discrete fractional calculus and several key mathematical concepts that are utilized often in the subject. We demonstrate in section 2 that if the Caputo-Fabrizio nabla fractional difference operator  of order  and commencing at is positive for   then  is -increasing. On the other hand, if  is rising and , then . Additionally, a result of monotonicity for the Caputo-type fractional difference operator is established. We show a fractional difference version of the mean-value theorem as an application and contrast it to the traditional discrete fractional instance

Quantum Conversation

This article is a sequel to the paper published earlier entitled (A new approach to gauge theory and variational principal). It is assumed that atoms are engaged in a perpetual conversation called Quantum Conversation,and the behavior of an atom varies based on the syntax, and the tonality, derived from the spectral terms. Accepting this premise, it is then explored how to identify Quantum Conversation, (QC). QuantumConversation could be identied through looking at atom from a fresh point of view. Mainly this includes re-interpreting spin, and split identied by the spectral terms which is the other behavioral characteristic of quantum particles. Split is dened both as the change in the orbit level, and the division of an atom into smaller elements. Spin, and split change as a result of Q.C. Q.C. has two major elements, 1) syntax, and 2) tonality.Given the dynamics and the diverse nature of syntax combined with tonality, it makes it possible to imagine and analyze a great number of scenarios for the behavior of the elements of an atom that would not bepossible to observe through laboratory experiments. This would open the door to a deeper understanding of the life of an atom

Generalized Pierre Numbers

In this paper, we introduce and investigate the generalized Pierre sequences for the first time and we deal with, in detail, two special cases, namely, Pierre and Pierre-Lucas sequences. We present Binet's formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Moreover, we give some identities and matrices related with these sequences. Furthermore, we show that there are close relations between Pierre, Pierre-Lucas and Tribonacci, Tribonacci-Lucas numbers

Meromorphic solutions to certain differential-difference equations

The aim of this paper is to investigate the growth and constructions of meromorphic solutions of the nonlinear differential-difference equation$$f^n(z)+h(z)\Delta_cf^{(k)}(z)=A_0(z)+A_1(z)e^{\alpha_1z^q}+\cdots+A_m(z)e^{\alpha_mz^q},$$where $n, m, q\in \mathbb{N}^+$, $\alpha_1,\cdots,\alpha_m$ are distinct nonzero complex numbers, $h(z)$ is a nonzero entire function and $A_j(z)~(0\leq j\leq m)$ are meromorphic functions. In particular, for $A_0(z)\equiv 0$, we give the exact form of meromorphic solutions of the above equation under certain conditions. In addition, our results are shown to be sharp

Investigating the Effects of Working Capital Management on Firm’s Profitability: An Empirical Evidence from Egyptian Firms.

To run the company successfully, the fixed and the current assets play a commendable role. Managing the working capital is mandatory because it has a major significance on profitability and liquidity of the business concern. Usually, it is observed that, if a firm wants to take a bigger risk for bumper profits and losses, it minimizes the dimension of its working capital in relation to the revenues it generates. If it is willing to improve its liquidity, that in turn raises the level of its working capital. This research has analysed the impact of working capital on the profitability of a sample of 25 Egyptian companies listed in the Egyptian stock exchange for a period of 10 years from 2012-2021. The various components for measuring working capital management include the Receivable days, Current ratio, and Quick ratio on the Net operating profitability of Egyptian companies. The controlled variables like; Fixed assets on total assets, the Debt ratio, and the size of the firm (measured in terms of the natural logarithm of assets) have also been used for measuring working capital management. Descriptive Statistics, Pearson’s Correlation, and Regression Analysis are used for analysing this research. All these tests are used to correlate the theories contributed by the literature by several authors with the statistical results. The results depict that, there is a positive relationship between the components of the working capital management and the profitability ratios of the Egyptian firms which indicate that, as the receivable days increase it would tend to reduce the profitability of the company. It is also observed that the negative relationship between the liquidity and the profitability of Egyptian firms.  There is a positive relationship between the size and the profitability of the firm. This indicates that, as the size of the firm increases the profitability of the firm also increases. Finally, a negative relationship is observed between the debt and profitability of the Egyptian firms. The results derived from this research signify that the managers might be able to raise their profits by reducing the time for the debtors and inventories so that, time for payables would increase

Some identities involving degenerate Cauchy numbers and polynomials of the fourth kind

In this paper, we study the constant equations associated with the degenerate Cauchy polynomials of the fourth kind using the generating function and Riordan array. By using the generating function method and the Riordan array method, we establish some new constants between the degenerate Cauchy polynomials of the fourth kind and two types of Stirling numbers, Lab numbers, two types of generalized Bell numbers, Daehee numbers, Bernoulli numbers and polynomials

New Types of Pythagorean Fuzzy Modules and Applications in Medical Diagnosis

In this article, we discuss several distinct categories of pythagorean fuzzy modules, study pythagorean fuzzy relations, and provide applications in the field of medical diagnosis. The concept of pythagorean fuzzy prime modules, along with its characteristics, is presented. In addition,an investigation is conducted into a pythagorean fuzzy multiplication module. Moreover, pythagorean fuzzy relations and pythagorean fuzzy homomorphisms are introduced. By making use of pythagorean fuzzy sets and pythagorean fuzzy relations., we propose a novel approach to the medical diagnosis process. This approach is achieved by pointing the smallest distance between the symptoms of the patients and the symptoms related to diseases

On the computation of zeros of Bessel functions

The zeros of some chosen Bessel functions of different orders is revised using the well-known bisection method , McMahon formula is also reviewed and the calculation of some zeros are carried out implementing a recent version of MATLAB software. The obtained results are analyzed and discussed on the lights of previous calculations

Video gaming among youth during covid-19 lockdowns in Chennai, Tamilnadu, India

Video gaming is the new social currency among youth. Youths have begun to exhibit addictive characteristics of videogaming affecting different facet of life during Covid-19 Pandemic lockdown. Mixed methodology and purposive sampling, snowball sampling technique was used for comprehensive interpretation. The Videogame addiction was assessed using the (7-item criterion)  Gaming Addiction Scale (GAS). Major findings include changes in daily habits, motives, experience lifestyle and career choices, changes in communication and socializing pattern, performance in education, work, Mental and physical health and understanding primary caretakers concern on youth. The suggestions, implications will be based on  social work practice for Individuals, parents and other stakeholders based on the findings